Effective resistance = 1/R + 1/R = 2/R Current, I = V/(R/2) = 0.6A V/R = 0.3A switch is closed, Effective Resistance = Re 1/Re = 1/R + 1/R + 1/R = 3/R Re = R/3 Therefore, final current, I = V/(R/3)...
Explain how to find the resistance of a combination of three resistors of resistance R1, R2, and R3 connected in parallel using a labelled circuit diagram.
answer: Total current = I = I1 + I2 + I3 from ohms law I = V/R, I1 = V/R1 I2 = V/R2 I3 = V/R3 V/R = V/R1 + V/R2 + V/R3 1/R = 1/R1 + 1/R2 + 1/R3
For the circuit shown in the diagram given below, find i) Total resistance ii) Current shown by the ammeter A
Answer: i) Total resistance = R Given, R1 = 5 ohms R2 = 3+2 = 5 ohms 1/R = 1/5 + 1/5 R = 2.5 ohms ii) Current flowing through the circuit, I = V/R = 1.6 amps
Determine the equivalent resistance of two resistances linked in parallel with the help of a circuit diagram.
Answer: The above circuit shows resistances R1 and R2 connected in series with a battery of V volts Total current = I = I1 + I2 apply ohms law, I=V/R I1 = V/R1 I2 = V/R2 V/R = V/R1 + V/R2 1/R = 1/R1...
Q36. The electrical resistivities of five substances A, B, C, S, and E are given below: A = 5.20×10-8 Ωm B = 110×10-8 Ωm C = 2.60×10-8 Ωm D = 10.0×10-8 Ωm E = 1.70×10-8 Ωmc) Which substance would you advice to be used for making heating elements of electric irons? Why? d) Which two substances should be used for making electric wires? Why?
c) B can be used in the making of the heating elements of an electric iron because the resistivity of B is the highest . d) C and E are the two substances that should be used for making electric...
Q36. The electrical resistivities of five substances A, B, C, S, and E are given below: A = 5.20×10-8 Ωm B = 110×10-8 Ωm C = 2.60×10-8 Ωm D = 10.0×10-8 Ωm E = 1.70×10-8 Ωm a) Which substance is the best conductor of electricity? Why? b) Which one is a better conductor: A or C? Why?
Answer: a) E is the best conductor of electricity because it has the least resistivity . b) C is a better conductor between A and C because the resistivity of C is lesser than that of A .
Calculate the following for the circuit shown in the diagram given below, total effective resistance of the circuit
Answer: Effective resistance = R 1/R = 1/R1 + 1/R2 + 1/R3 1/R=1/30 + 1/10 +1/5 R=3 ohm
Q35. The electrical resistivities of four materials A, B, C, and D are given below: A = 110×10-8 Ωm B = 1.0×1010 Ωm C = 10.0×10-8 Ωm D = 2.3×103 ΩmWhich material is: c) Insulator d) Semiconductor
Answer : c) Insulator is B = 1.0×1010 Ωm . d) Semiconductor is D = 2.3×103 Ωm .
Calculate the following for the circuit shown in the diagram below. i) Value of current through each resistor ii) total current in the circuit
Answer: A parallel circuit is a circuit in which the electricity travels over numerous separate pathways. i) Current through R1=6/5 = 1.2A Current through R2 =6/10= 0.6A Current through R3 =6/30=...
Q35. The electrical resistivities of four materials A, B, C, and D are given below: A = 110×10-8 Ωm B = 1.0×1010 Ωm C = 10.0×10-8 Ωm D = 2.3×103 Ωm Which material is: a) Good conductor b) Resistor
Answer: a) Good conductor is C = 10.0×10-8 Ωm . b) Resistor is A = 110×10-8 Ωm .
If the potential difference between the ends of a fixed resistor is halved, the electric power will becomes: a) double b) half c) four times d) one-fourth
Answer: d) one-fourth is the correct answer. We know p=v²/R where R is constant p turns 1/4 times when V is halved The electric power is one-fourth of the actual value when the potential difference...
Q34. The electrical resistivities of three materials P, Q, and R are given below: P = 2.3×103 Ωm Q = 2.63×10-8 Ωm R = 1.0×1015 Ωm Which material will you use for making? c) Solar cells
Answer : c) For making of the solar cells, P = 2.3×103 Ωm can be used because this materials is a semiconductor .
At a given time, a house is supplied with 100A at 220V. How many 75W, 220V light bulbs could be switched on in the house at the same times if they are all connected in parallel? a) 93 b) 193 c) 293 d) 393
Answer: c) 293 is the correct answer. When all 293 bulbs are linked in parallel and have 75W and 220V, a total of 293 bulbs can be used.
Determine the formula for the resulting resistance of three resistors linked in series using a diagram.
Answer: The resistances R1,R2 and R3 are linked in series with a V volt battery in the circuit above. Let V1 be the potential difference between R1 and V2 be the potential difference between R2....
Q34. The electrical resistivities of three materials P, Q, and R are given below: P = 2.3×103 Ωm Q = 2.63×10-8 Ωm R = 1.0×1015 Ωm Which material will you use for making? a) Electric wires b) Handle for soldering iron
Answer: a) For making of the electric wires, Q = 2.63×10-8 Ωm can be used because this material has a very low resistivity b) For making of the handle for soldering iron, R = 1.0×1015 Ωm can be used...
How many joules of electrical energy are transferred per second by a 6V, 0.5A lamp? a) 30 J/s b) 12 J/s c) 0.83 J/s d) 3 J/s
Answer: d) 3 J/s is the correct answer. Electrical energy transfered per second , E=VIt=6 x 0.5 x 1 When a light with a voltage of 6V and a current of 0.5A is utilised, 3 J/s of electrical energy is...
An electric kettle for use on a 230V supply is rated at 3000W. For safe working, the cable connected to it should be able to carry at least: a) 2A b) 5A c) 10A d) 15A
Answer: d) 15A is the correct answer. Current drawn by the kettle, I=P/V = 3000/230 So the cable should be able to carry more current than this and hence the answer is 15 A. An electric kettle with...
How much energy is does a 100W electric bulb transfer in 1 minutes? a) 100J b) 600J c) 3600J d) 6000J
Answer: d) 6000J is the correct answer. According to the question, Power= 100 W Time, t = 1 minute = 60 seconds P=W/t W=6000J Energy is the ability to do work. Hence, In one minute, 6000J of energy...
As indicated in the diagram, two resistances are connected in series: i) What is the value of R? ii) What is the value of V?
Answer: given V=6V, Current through 5 ohm resistor =V/R= 2A i) V = IR R = 3 ohm ii) V = 10 + 6 = 16V
Q33. A piece of wire of resistance 20Ω is drawn out so that its length is increased to twice its original length. Calculate the resistance of the wire in the new situation.
Answer: We know that, R = ρl/A Given that, l’ = 2l A’ = A/2 And ρ’ = ρ (as the material of the wire is the same) Therefore, R’ = ρ’l’/A’ = ρ2l/(A/2) = 4ρl/A = 4R Therefore, R’ = 4×20 =...
The commercial unit of energy is: a) Watt b) Watt-hour c) Kilowatt-hour d) Kilo-joule
Answer: c) Kilowatt-hour is the right answer. The commercial unit of energy is the kilowatt hour.
The SI unit of energy is: a) Joule b) Coulomb c) Watt d) Ohm-meter
Answer: a) Joule is the correct answer. The joule is the SI unit of energy.
Q32. If the area of cross-section of a resistance wire is halved, then its resistance becomes: a) One-half b) 2 times c) One-fourth d) 4 times
Answer: The correct option is b) 2 times. Reason: As, R = ρl/A so R' = ρl/(A/2) = 2ρl/A ⇒R' = 2R So , new resistance becomes 2 times the original resistance .
As indicated in the diagram, two resistances are connected in series: i) How much current passes through a 5 ohm resistance? ii) How much current is flowing through R?
Answer: i) Current through 5 ohm resistor =V/R= 2A ii) Current through R = 2A because 5 ohm resistor and R are connected in series
An electric heater is rated at 2kW. Electrical energy costs rupees 4 per kWh. What is the cost of using the heater for 3 hours? a) Rupees 12 b) Rupees 24 c) Rupees 36 d) Rupees 48
Answer: b) Rupees 24 is the correct answer. It is assumed that the cost of electrical energy is rupees 4 per kWh. The duration of the event is 3 hours. The electric heater has a 2kW output. We can...
Which of the following is likely to be the correct wattage for an electric iron used in our homes? a) 60W b) 250 W c) 850W d) 2000W
Answer: b) 850W is the proper option. The electric irons we use in our homes have a power rating of 850W.
The unit for expressing electric power is: a) Volt b) Joule c) Coulomb d) Watt
Answer: d) Watt is the correct answer. The watt is the unit of measurement for electric power.
When an electric lamp is connected to 12V battery, it draws a current of 0.5A. The power of the lamp is: a) 0.5W b) 6W c) 12W d) 24W
Answer: b) 6W is the correct option P = VI is the formula for calculating power Substituting the values of V and I, we get P = 6W.
Determine the formula for the resulting resistance of three resistors linked in series using a diagram.
Answer: The resistances R1 and R2 are linked in series with a V volt battery in the circuit above. Let V1 be the potential difference between R1 and V2 be the potential difference between R2. ...
Q31. The resistivity of copper metal depends on only one of the following factors. This factor is: a) Length b) Thickness c) Temperature d) Area of cross-section
Answer: The correct option is c) Temperature . Reason : The resistivity or specific resistance of a material is an intensive property (property which does not depend on the system size or the amount...
c) Define kilowatt-hour. How many joules are there in one kilowatt-hour? d) Calculate the cost of operating a heater of 500W for 20 hours at the rate of? Rupees 3.90 per unit.
Answer: c) One kilowatt hour is the amount of energy utilised by an electrical equipment with a power of one kilowatt for one hour. d) Given in the question, P = 500W = 0.5kW T = 20 hour Thus,...
Q30. When the area of cross-section of a conductor is doubled, its resistance becomes: a) Double b) Half c) Four times d) One-fourth
Answer: The correct option is b) half Reason: Resistance is inversaly proportional to (A) Area (cross sectionsl area of conductor) . R∝ 1/A So when A Doubled then Resistance became half .
In the following circuit: e) How much current flows through the 6 ohm resistor?
Answer: Total current flowing through circuit, I = 6A R1 = 3 Ω R2 = 6 Ω Combined resistance R is 1/R = 1/3 + 1/6 = 3/6 R = 2 Ω Potential difference across the combined resistance = IR = 12V...
In the following circuit: a) What is the difference in potential between the three ohm resistor? b) What is the current flowing through the three ohm resistor?
Answer: Total current flowing through circuit, I = 6A R1 = 3 Ω R2 = 6 Ω Combined resistance R is 1/R = 1/3 + 1/6 = 3/6 R = 2 Ω Potential difference across the combined resistance = IR = 12V a)...
a) What is meant by “electric power”? Write the formula for electric power in terms of potential difference and current. b) The diagram below shows a circuit containing a lamp L, a voltmeter, and an ammeter. The voltmeter reading is 3V and the ammeter reading is 0.5A. What is the resistance and power of the lamp?
Answer: a) The rate at which electrical energy is consumed is referred to as electric power. It is given as: P = VI = watt b) Given in the question, V =...
Q29. The resistivity of a certain material is 0.6 Ωm. The material is most likely to be: a) An insulator b) A superconductor c) A conductor d) A semiconductor
Answer: The correct option is d) A semiconductor . Reason : The resistivity of a certain material is 0.6 Ωm. The material is most likely to be a semiconductor because it has moderate...
In the following circuit: a) How much combined resistance is there in total? b) What is the potential difference in combined resistance across the board?
answer: Given that Total current flowing through circuit, I = 6A R1 = 3 Ω R2 = 6 Ω a) Combined resistance R is 1/R = 1/3 + 1/6 = 3/6 R = 2 Ω b) Potential difference across the combined resistance =...
Q28. If the diameter of a resistance wire is halved, then its resistance becomes: a) Four times b) Half c) One-fourth d) Two times
Answer: The correct option is a) four times. Reason : Resistance of the wire is given by: R = ρ lA When the diameter is halved: d'=d2 Radius: r'=r2 Area of cross-section: A'=πr'2=πr22=πr24=A4 Area...
A 5 volt battery is connected to two 20 ohm resistors that are connected in series. a) Determine the current flowing from the battery. b) What is the difference in potential between each resistor?
Effective resistance = R1+R2=20 + 20 = 40 ohms a) Current flowing through the circuit = I = V/R = 5/40 = 0.125amp b) Potential difference across each resistance = IR = 2.5V
connected in series. a) Represent this with a circuit diagram. Add an arrow to show the circuit’s normal current flow direction. b) How much resistance do the two resistors have in common?
Answer: a) b) Effective resistance = R1+R2=20 + 20 = 40 ohms
An electric fan runs from the 230V mains. The current flowing through it is 0.4A. At what rate is electrical energy transferred by the fan?
Answer: Given in the question, V = 230V I = 0.4amp We have to find the rate at which electrical energy is transferred i.e., Power We know that, P = VI Substituting the values of V & I, we get P...
The diagram below depicts an electric circuit in which current passes via two resistors from a 6V battery. Determine the current flowing from the battery.
Answer: Given, V = 6V R1 = 2Ω R2 = 3 Ω Effective resistance = R 1/R = ½ + 1/3 1/R = 5/6 R = 1.2 Ω Current flowing through battery, I = V/R = 6/1.2 = 5A
What is the maximum power in kilowatts of the appliance that can be connected safely to a 13A, 230V mains socket?
Answer: Given in the question, I = 13amp V = 230V We know that, P = VI Substituting the values of V & I, we get P = 2.99kW
The diagram below depicts an electric circuit in which current passes via two resistors from a 6V battery. a)The two resistors share the current that flows from the battery. Which resistor will receive the majority of the current? b) Determine the two resistors’ effective resistance.
answer: Given, V = 6V R1 = 2Ω R2 = 3 Ω a)Because of its lower resistance, 2 ohm resistance has a larger share of current. b) Effective resistance = R 1/R = ½ + 1/3 1/R = 5/6 R = 1.2...
Q27. If the resistance of a certain copper wire is 1Ω, then the resistance of a similar nichrome wire will be about: a) 25 Ω b) 30 Ω c) 60 Ω d) 45 Ω
Answer: The correct option is c) 60 Ω. Reason : If the resistance of a certain copper wire is 1 Ω, the resistance of a similar nichrome wire will be about 60 Ω because the resistivity of nichrome is...
The diagram below depicts an electric circuit in which current passes via two resistors from a 6V battery. a) Are the resistors linked in series or parallel with one another? b) State the potential difference across each resistor.
Answer: Given, V = 6V R1 = 2Ω R2 = 3 Ω a) Resistors are connected in parallel b) The potential difference across each resistor is equivalent to...
In parallel, a 4 ohm coil and a 2 ohm coil are connected. What is the sum of their resistance? The coils receive a total current of 3A. What is the current that flows through the two coils?
Answer: In parallel, 4 and 2 coils are connected. As a result, the total resistance, R 1/R = ¼ + ½ = ¾ R = ¾ Ω Total current,, I = V/R = 3 Ω V/(4/3) = 3...
Q25. The resistance of a wire of length 300m and cross-section area 1.0mm2 made of material of resistivity 1.0×10-7 Ωm is: a) 2Ω b) 3Ω c) 20Ω d) 30Ω
Answer: The correct option is d) 30Ω Reason : We know that R = ρl/A Substituting the values in the above equation we get 30Ω.
Three resistors are shown in the diagram below: Their combined resistance is: a) 1 (5/7)Ω b) 14 Ω c) 6 (2/3) Ω d) 7 (1/2) Ω
Answer: d) 7 (1/2) is the correct answer. When combining resistors, the series and parallel combination formula must be employed. A parallel combination of 6 and 2 resistors is used....
Q26. When the diameter of a wire is doubled, its resistance becomes: a) Double b) Four times c) One-half d) One-fourth
Answer: The correct option is d) one-fourth Reason: We know that R = ρl/A Therefore, when the diameter of the wire is doubled, the resistance becomes one-fourth of the actual value.
A 2kW heater, a 200 watt TV and three 100 watt lamps are all switched on from 6-10PM. What is the total cost at Rupees 5.50 per kWh?
Answer: It is given for heater, P = 2kWh T = 4 hours Thus, Energy consumed will be E1, PT = 8kWh It is given for TV, P = 200 watt = 0.2kW T = 4 hours Thus, Energy consumed will be E2, PT = 0.8kWh...
When two resistors of 25 and 15 ohms are connected in series and then connected in parallel with a resistor of 40 ohms, the combined effective resistance is: a) 0.1 Ω b) 10 Ω c) 20 Ω d) 40 Ω
Answer: c) 20 is the correct answer. The overall resistance acquired is equivalent to 20 since the resulting resistance generated from the resistors that are connected in series is connected with 40...
Q25. The resistance of a wire of length 300m and cross-section area 1.0mm2 made of material of resistivity 1.0×10-7 Ωm is: a) 2Ω b) 3Ω c) 20Ω d) 30Ω
Answer: The correct option is d) 30Ω We know that R = ρl/A Substituting the values in the above equation we get 30Ω.
Part of a circuit is depicted in the diagram below: If this three-resistor configuration were to be replaced with a single resistor, its resistance would be: a) 9Ω b) 4 Ω c) 6 Ω d) 18 Ω
Answer: a) 9 is the correct answer. The overall resistance of the supplied circuit is calculated using a series and parallel combination once more.
Q24. e) The resistance of a metal wire of length 1m is 26Ω at 20⸰C. if the diameter of the wire is 0.3mn, what will be the resistivity of the metal at that temperature?
e) Given in question : l = 1m , R = 26Ω r = d/2 = 0.3/2 = 0.15mm = 0.15×10-3m We know that, ρ = R×A/l ρ= 1.83×10-6Ωm .
Q24. c) Distinguish between resistance and resistivity.d) Name two factors on which the resistivity of a substance depends and two factors on which it does not depend.
c) Following are the differences between resistance and resistivity: Resistance is the property of the conductor whereas Resistivity is the property of the material used in the conductor . In a...
The following is a diagram of the circuit: The potential difference between the three resistors is as follows: a) 1/9 V b) 1/2V c) 1 volt d) 2V
Answer: c) 1V is the correct answer. We know that V = IR equals the potential difference across a resistor. As a result of swapping the values, we get a potential difference of 3V across the...
Three bulbs and a battery are linked as follows: Which of the following claims concerning X, Y, and Z currents is true? a) At Z, the current is bigger than at Y. b) At Y, the current is bigger than at Z. c) The current in X is the same as the current in Y. d) The current at X and Z are equal.
Answer: b) The current at Y is greater than the current at Z is the correct answer
An electric kettle connected to the 230V mains supply draws a current of 10A. Calculate: a) the power of the kettle b) the energy transferred in 1 minute
Answer: Given in the question, V = 230V I = 10amp a) We know that, P = VI Substituting the values of V & I, we get P = 2300 watt = 2300 J/s b) Also, energy consumed in one minute = PT = 138000...
The potential differences across the 1st, 2nd, and 3rd resistors in the following schematic are V1, V2, and V3, respectively; the current is 5A. Which of the columns (a) to (d) contains the right volt values for V1, V2, and V3?
Answer: Where V1 = 5.0, V2 = 10.0, and V3 = 15.0 is the correct answer. We can acquire the correct numbers for V1, V2, and V3 by using the formula V = IR and replacing the values in the...
Q24. a) Define resistivity. Write an expression for the resistivity of a substance. Give the meaning of each symbol. b) State the SI unit of resistivity.
Answer: a) Resistivity is defined as: ρ = R×A/l where,R is the resistance of the conductor, A is the cross-sectional area of the conductor and l is the length of the conductor. b) The SI unit of...
Two lamps one rated 40 watt at 220V and the other 60 watt at 220V are connected in parallel to the electric supply at 220V. c) Calculate the total energy consumed by the two lamps together when they operate for one hour
Answer: c) The amount of energy consumed by 40W lamp in 1 hour, E1 = PT = 40 watt-hour 1 watt-hour = 3.6kj Thus, E1 = 144kJ Energy consumed by 60 watt lamp in 1 hour, E2 = PT = 216kJ Total energy...
Q23. Calculate the area of cross-section of a wire if its length is 1.0m, its resistance is 23Ω, and the resistivity of the material of the wire is 1.84×10-6Ωm.
Answer: Given in question , l = 1.0m , R = 23 ohm , ρ = 1.84×10-6Ωm We have, R = ρl/A 23 = 1.84×10-6 × 1/A A = 8×10-8 m2
Five equal pieces of resistance wire R1 are cut. These five wires are then joined in a parallel configuration. If R2 is the resultant resistance of this combination, the R1/R2 ratio is: a) 1/25 b) 1/5 c) 5 d) 25
Answer: d) 25 is the correct answer. The ratio of the resistance and the resulting resistance achieved when the parts are linked in parallel is 25 when a resistance wire is cut into...
Q22. How does the resistance of a wire change when:c) its material is changed to one whose resistivity is three times?
c) ρ = 3ρ R’ = 3ρl/A = 3R Therefore, resistance becomes 3 times.
Q22. How does the resistance of a wire change when: a) its length is tripled? b) its diameter is tripled?
Answer: We know that, R = ρl/A a) l becomes 3l R’ = ρ3l/A = 3R Therefore, resistance gets tripled b) d becomes 3d & R = ρl/A R = ρl/πr2 = ρl/π(d/2)2 R’ = R/9 Therefore, resistance becomes...
Q21. How does the resistance of a wire vary with its: a) area of cross-section? b) diameter?
Answer: a) When a wire's resistance is changed, the cross-sectional area increases, lowering the resistance. b) When a wire's resistance is changed, the material's diameter is increased, lowering...
Q20. What would be the effect on the resistance of a metal wire of:c) increasing its temperature
Answer: c) As the temperature is increased, the resistance will increase
Two lamps one rated 40 watt at 220V and the other 60 watt at 220V are connected in parallel to the electric supply at 220V. a) Draw a circuit diagram to show the connections b) Calculate the current drawn from the electric supply
Answer: Given in the question, Number of lamps = 2 P1 = 40W P2 = 60W V = 220V a) Circuit diagram is shown below, b) The voltage across both bulbs is the...
Q20. What would be the effect on the resistance of a metal wire of: a) increasing its length b) increasing its diameter
Answer: The following are the impacts on a metal wire's resistance when: a) The resistance will grow when the length is increased. As $R=\rho L/a$ i.e resistance is directly proportional to length...
The voltmeter in the circuit below reads 10V.a) What is the potential difference across 2Ω resistor? b) What is the potential difference across 3 Ω resistor?
Answer: Given, V = 6V R1 = 2 Ω R2 = 3 Ω Combined resistance, Rt = 2+3 = 5 Ω I = V/Rt = 10/5 = 2A a) Potential difference across 2 Ω resistor = IR1 = 4V b) Potential difference across 3 Ω resistor =...
The voltmeter in the circuit below reads 10V.a) What is the combined resistance? b) What current flows?
Answer: Given, V = 6V R1 = 2 Ω R2 = 3 Ω a) resistance of combination , Rt = 2+3 = 5 Ω b) Current flowing I = V/Rt = 10/5 = 2A
A possible distinction 6V is applied in parallel to two resistors of 3 and 6 ohms. Calculate: the current passing through the three resistors
Answer: Given, V = 6V R1 = 3 Ω R2 = 6 Ω Current via three resistors = V/R1 = 6/3 = 2A
A possible distinction 6V is applied in parallel to two resistors of 3 and 6 ohms. Calculate: a) the total amount of resistance b) the flow of current in the main circuit
Answer: Given, V = 6V R1 = 3 Ω R2 = 6 Ω a) Resistance in combination, 1/R = 1/R1 + 1/R2 = 1/3 + 1/6 = ½ R2 = 2 b) Current flowing in the main...
A potential difference of 4V is applied in series to two resistors of 6 and 2. Calculate: the difference in voltage across the six resistors
Answer: Given, V = 4V R1 = 6 Ω R2 = 2 Ω Combined resistance, R = R1 + R2 = 8 ohm Current flowing, I = V/R = 4/8 = 0.5 amp Difference in potential...
A potential difference of 4V is applied in series to two resistors of 6 and 2. Calculate: a) the total amount of resistance b) the flow of the current
Answer: Given, V = 4V R1 = 6 Ω R2 = 2 Ω a) Combined resistance, R = R1 + R2 = 8 ohm b) Current flowing, I = V/R = 4/8 = 0.5 amp ...
Calculate the power used in the 2Ω resistor in each of the following circuits: a) a 6V battery in series with 1Ω and 2Ω resistors b) a 4V battery in parallel with 12Ω and 2Ω resistors
Answer: a) Given in the question, V = 6V R1 = 1 ohm R2 = 2 ohm Thus, we get Equivalent resistance of R1 & R2 in series, R = R1 + R2 = 3 ohm Total current, I = V/R = 6/3 = 2amp Current through...
Three resistors R1, R2, and R3 of 5 ohms, 10 ohms, and 30 ohms, respectively, are connected as follows in the circuit diagram: Calculate: the circuit’s total resistance
Answer: Given, V = 12V R1, R2, and R3 are linked in a series. Current through R1 = V/R1 = 12/5 = 2.4 A Current through R2 = V/R2 = 12/10 = 1.2 A Current through R3 = V/R3 =...
Which uses more energy: a 250W TV set in 1 hour or a 1200W toaster in 10 minutes?
Answer: 1st case: TV set Given, P = 250W = 0.25kWh T = 1 hour Thus, we get Energy consumed, E = PT = 0.25kWh 2nd case: Toaster Given, P = 1200W = 1.2kW T = 10 min = 1/6 hour Thus, we get Energy...
Three resistors R1, R2, and R3 of 5 ohms, 10 ohms, and 30 ohms, respectively, are connected as follows in the circuit diagram: Calculate: a) the amount of current flowing via each resistor b) the circuit’s total current
Given, V = 12V R1, R2, and R3 are linked in a series. a) Current through R1 = V/R1 = 12/5 = 2.4 A Current through R2 = V/R2 = 12/10 = 1.2 A Current through R3 =...
An electric motor takes 5 ampere current from a 220 volt supply line. Calculate the power of the motor and electric energy consumed by it in 2 hours.
Answer: Given in the question, I = 5amp V = 220V T = 2 hours We have to find P = ? E = ? We know that, P = VI Substituting the values of V & I, we get P = 1.1kW Also we know that, Energy...
Five resistances of 10 ohms, 40 ohms, 30 ohms, 20 ohms, and 60 ohms are connected to a 12 volt battery in the circuit diagram below. Calculate: a) the circuit’s total resistance b) the total current in the circuit
Answer: a) R1 represents the equivalent resistance of 10 and 40 resistances: 1/R1 = 1/10 + 1/40 = 5/40 R1 = 8 Ω R2 is the equivalent resistance of 30 ohms, 20...
For a heater rated at 4kW and 220V, calculate: c) the energy consumed in 2 hours d) the cost if 1 kWh is priced at Rupees 60
Answer: Given in the question that, P = 4kW V = 220V T = 2hours c) Energy consumed in two hours, E = PT Substituting the values of P & T, we get E = 8kWh d) Cost of 1kWh = Rupees 4.6 Total cost...
Two resistance coils A and B of 24 ohm resistance each are linked to a 220V supply line on an electric heater. These coils can be utilised in a series or parallel configuration. Calculate the current drawn in the following situation: coils A and B are used in parallel
When coils A and B are utilised in parallel, the current drawn is: Total resistance is 1/R = 1/Ra + 1/Rb = 1/24 + 1/24 = 2/24 = 1/12 R = 12 ohms I = V/R = 220/12 = 18.33 amps
Two resistance coils A and B of 24 ohm resistance each are linked to a 220V supply line on an electric heater. These coils can be utilised in a series or parallel configuration. Calculate the current drawn in the following situations: a) Only one coil A is utilized; b) coils A and B are connected in series
answer: given Ra = Rb = 24 ohm a) Current drawn when coil A is the only one used: I = V/Ra = 220/24 = 9.16 amps b) Current drawn in series when coils A and B are used: Total resistance, R = Ra + Rb...
The resistance of a resistor is 176 ohms. How many of these resistors should be connected in parallel so that their combined current from a 220 volt supply line equals 5 amps?
Answer: given that I = 5 amp V = 220 V R = V/I = 220/5 = 44 ohm The resultant resistance must be less than 176 ohm. Therefore, the resistors are connected in parallel Let...
For a heater rated at 4kW and 220V, calculate: a) the current b) the resistance of the heater
Answer: Given in the question that, P = 4kW V = 220V a) Current, I = ? We know that, P = VI Substituting the values of P & V, we get I = 16amp b) Resistance, R = ? We know that, P = I2R...
The current flowing through the 5 ohm resistor in the circuit schematic below is 1 amp. Determine how much current is passing via the remaining two resistors.
Given, 1 amp = I R = 5 ohm ohm ohm ohm o Because the resistors are linked in parallel and the voltage across them is the same, the potential difference across each resistor is the same....
The combination of three resistors R1, R2, and R3 is shown in the circuit schematic below the total current in the circuit, the potential difference between R1 and R2
V/R = total current flowing through circuit Where R stands for total resistance. I = 12/6 = 2 amp Difference in potential across R1 = R1I = 8V
A bulb is rated as 250V, 0.4A. Find a) Power b) Resistance
Answer: It is given in the question that, V = 250V I = 0.4 amp a) We have to find P = ? We know that, P = VI Substituting the values of V & I, we get P = 100 watt b) We have to find R = ? We...
The combination of three resistors R1, R2, and R3 is shown in the circuit schematic below: Determine: the circuit’s total resistance
answer: When two resistors are linked in parallel, the total resistance is 1/3 + 1/6 = 1/R' 3/6 = 1/R' R' is equal to 2 ohms. Total circuit resistance = 2 + 4 = 6...
In a house two 60W electric bulbs are lighted for 4 hours and three 100W bulbs for 5 hour everyday. Calculate the electric energy consumed in 30 days.
Answer: 1st case, Power, P1 = 60W Number, n1 = 2 Time for use, T1 = 4 hours everyday Energy consumed, E1 = n1 × P1 × T1 E1 = 2 × 60 × 4 = 480watt-hour = 0.48kWh As a result, total energy consumed...
Two resistors with resistances of 5 and 10 should be connected to a 6V emf battery to get the minimum and maximum current flowing. a) In each situation, how will you connect the resistances? b) In both circumstances, calculate the strength of the total current in the circuit.
answer: a) When the two resistors are linked in series, the current through the resistors is kept to a minimum. The current flow is greatest when the resistors are linked in parallel. b) If the...
a) Write down the formula which relates electric charge, time, and electric current. b) A radio set draws a current of 0.36A for 15 minutes. Calculate the amount of electric charge that flows through the circuit.
a) The relation between electric charge, time, and electric current is given as: Current $=($charge moved$) /($time$)$ While work done = potential difference $\times$ charge moved Therefore, above...
The following is a circuit diagram for the circuit shown below: What is the worth of the following: a) What is the current through the 6 resistor? b) What is the potential difference between 12 resistors?
answer: Assume the following circuit: V = 4V Total resistance in line 1 = R1 = 6 + 3 = 9 Ω Total resistance in line 2 = R2 = 12 + 3 = 15 Ω a) Current flowing...
An electric kettle rated at 220V, 2.2kW works for 3 hours. Find the energy consumed and the current drawn.
Answer: It is given in the question that, V = 220V P = 2.2kW = 2200 watt T = 3 hours It is known to us that Energy consumed = PT = 6.6kWh We also know that, P = VI Thus we get, I = 10...
Why should the resistance of: a) An ammeter be very small? b) A voltmeter be very large?
As we all know, resistance is the measurement of an electrical circuit's resistance to current flow. The current is measured with an ammeter, while the potential difference is measured with a...
What is an ammeter? How is it connected in a circuit? Draw a diagram to illustrate your answer.
A device used to measure the flow of electric current is known as an ammeter. An ammeter is always linked in series with the electric current being measured. The following diagram shows how to...
a) What is an electric current? What makes an electric current flow in a wire? b) Define the unit of electric current.
a) An electric current is defined as the flow of electric charges through a conductor where the flow of current is caused by the potential difference between two locations in the conductor. b) The...
a) Name a device which helps to maintain potential difference across a conductor (say a bulb). b) If a potential difference of 10V causes a current of 2A to flow for 1 minute, how much energy is transferred?
a) A cell or a battery is used to sustain the potential difference across a conductor. b) Given, Potential difference $=10 \mathrm{~V}$, Current, I $=2 \mathrm{~A}$ Time taken, $t=60 \mathrm{~s}$ We...
In which of the following cases more electrical energy is consumed per hour? a) A current of 1 ampere passed through a resistance of 300 ohms b) A current of 2 amperes passed through a resistance of 100 ohms
Answer: a) It is given in the question that, R = 300 ohm I = 1 amp T = 1 hour P = I2R = 300W E = PT = 300 watt-hour b) It is given in the question that, R = 100 ohm I = 2 amp T = 1 hour P = I2R =...
Fill in the following blanks with suitable words: a) A current is a flow of …….. for this to happen there must be a ……… b) Current is measured in ……….. using an ………….placed in ……..in a circuit.
a) Electrons and closed b) Amperes, ammeter, and series
In 10s a charge of 25C leaves a battery and 200J of energy are delivered to an outside circuit as a result. a) What is the potential difference across the battery? b) What current flows from the battery?
Given, Time taken, $t=10 s$ Charge moved, $\mathrm{Q}=25 \mathrm{C}$ Energy delivered is work done $=200 \mathrm{~J}$ a) Potential difference $=($ work done $) /($ charge moved $)=(200) /(25)=8...
An electric bulb is connected to a 220V power supply line, if the bulb draws a current of 0.5A, calculate the power of the bulb.
Answer: It is given in the question that, V = 220V I = 0.5A P = ? It is known to us that, P = VI P = 110 watt
The figure below shows a variable resistor in a dimmer switch. How would you turn the switch to make the lights a) brighter b) dimmer
Answer: a) To brighten the lights, turn the switch to the right, as the resistance lowers as the switch is turned to the right. As a result, the circuit's resistance will be reduced. b) To dim the...
The potential difference across a lamp is 12V. How many joules of electrical energy are changed into heat and light when: a) a charge of 1C passes through it? b) a charge of 5C passes through it? c) a current of 2A flows through it for 10s?
Given, Potential difference $=12 \mathrm{~V}$ a) Potential difference = (work done)/(charge moved) Work done = Potential difference$\times$ charge moved Therefore, $12 \mathrm{~J}$ of electrical...
If current flows through two lamps arranged in: a) series b) parallel and the filament of one lamp breaks, what happens to the other lamp? Explain
Answer: a) When the lamps are connected in a series, the lamps will stop lighting if one of the filaments breaks. Because the circuit is broken due to the broken lamp. b) When the lamps are...
How do you think the brightness of two lamps arranged in parallel compares with the brightness of two lamps arranged in series?
Answer: When two bulbs are linked in parallel instead of series, they create more light. This occurs because the voltage difference between parallel combinations remains constant. However, in the...
Consider the circuit given below where A, B, and C are three identical light bulbs of constant resistance. c) If B burns out instead, what will be the brightness of A and C compared with before?
Answer: c) B and A are connected in series. If B burns out, A will also burn out. C, on the other hand, remains the brightest as it is in parallel combination with the other two.
If the charge on an electron is 1.6 × 10-19 coulombs, how many electrons should pass through a conductor in 1 second to constitute 1 ampere current?
Given, Charge moved $=1.6 \times 10^{-19}$ coulombs Current, I $=1 \mathrm{~A}$ Time taken, $t=1 \mathrm{~s}$ We know that, $\text{I}=\text{Q}/\text{t}$ $1=\text{Q}/1$ $\text{Q}=1\text{C}$ We also...
What is a circuit diagram? Draw the labelled diagram of an electric circuit comprising of a cell, a resistor, an ammeter, a voltmeter, and a closed switch or closed plug key. Which of the two has a large resistance: an ammeter or a voltmeter?
A circuit diagram is a graphic that uses electric symbols to show the individual components in an electric circuit and how they are connected. A voltmeter, on the other hand, will have a higher...
Draw circuit symbols for a) fixed resistance b) variable resistance c) a cell d) a battery of three cells e) an open switch f) a closed switch
Why should the resistance of: a) An ammeter be very small? b) A voltmeter be very large?
a) Because the value of the current flowing through the circuit is constant, the resistance of an ammeter should be very low. b) A voltmeter's resistance should be quite high since the current...
The other name of potential difference is a) Ampereage b) Waltage c) Voltage d) Potential energy
c) Voltage is another word for potential difference.
Which statement/statements is/are correct? a) An ammeter is connected in series in a circuit and a voltmeter is connected in parallel b) An ammeter has a high resistance c) A voltage has a low resistance
The correct answer is a) An ammeter is connected in series in a circuit and a voltmeter is connected in paralle
Q19. a) Give one example to show how the resistance depends on the nature of material of the conductor b) Calculate the resistance of an aluminum cable of length 10km and diameter 2.0mm if the resistivity of aluminum is 2.7×10-8Ωm.
Answer: a) Let us consider two wires with same length and diameter. Let these two wires be of copper metal and nichrome alloy. We know that the resistance of nichrome wire is 60 times more than...
Which unit could be used to measure current? a) Watt b) Coulomb c) Volt d) Ampere
The right option for measuring current unit is d) Ampere.
Q18. How does the resistance of a conductor depend on:c) temperature of the conductor
Answer: c) As the temperature rises, the material's resistance rises as well.
As illustrated in the diagram, three resistors are connected: A current of one ampere flows through resistor 5. What are the possible differences between AB and AC?
Difference in potential across AB = IR3 = 1 × 5 = 5V Between B and C, the equivalent resistance is 1/R’ = 1/R1 + 1/R2 = 1/10 + 1/15 = 5/30 R’ = 6Ω Total resistance...
As illustrated in the diagram, three resistors are connected: A current of one ampere flows through resistor 5. a) How much current is flowing via the other two resistors? b) How much total resistance do you have?
Answer: Based on the circuit diagram above; a) The total current is 1 amp when I insert the parallel combination of resistances R1 and R2. The current flow through R1 is I1, while the current...
Q18. How does the resistance of a conductor depend on: a) length of the conductor b) area of cross-section of the conductor
Answer: a) The resistance of a conductor is proportional to its length. The material's resistance diminishes as the length of the material rises, and vice versa. b) The resistance of a conductor is...
Q17. Will current flow more easily through a thick wire or a thin wire of the same material when connected to the same source? Give reason for your answer.
Answer: Because the resistance of a thick wire is lower than that of a thin wire, current flow will be easier in a thick wire than in a thin wire.
Q16. a) Give two examples of substances which are good conductors of electricity. Why do you think they are good conductors of electricity? b) Calculate the resistance of a copper wire 1.0km long and 0.50mm diameter if the resistivity of copper is 1.7×10-8Ωm.
Answer: a) Two examples of substances that are good conductors of electricity are silver and copper. These two metals have free electrons that are available for conduction. b) Given in question : l...
A 6V battery is linked in series with a 20 resistance electric bulb and a 4 resistance cable. Create a circuit schematic and perform the following calculations: c) potential difference between the electric bulb and the resistance wire d) potential difference between the electric bulb and the resistance wire
Answer: c) Difference in potential across the bulb = IR1 = 0.25 20 = 5V d) Difference in potential across the resistance wire = IR2 = 0.25 4 = 1V
Q15. a) Write down an expression for the resistance of a metallic wire in terms of the resistivity. b) What will be the resistance of a metal wire of length 2 metres and area of cross-section 1.55×10-6m2, if the resistivity of the metal be 2.8×10-8Ωm?
Answer: a) Following is the expression for the resistance of a metallic wire in terms of the resistivity: R = ρl/A Where, R is the resistance of the wire , ρ is the resistivity of the wire , A is...
Q14. a) What do you understand by the “resistivity” of a substance? b) A wire is 1.0m long, 0.2 mm in a diameter and the has a resistance of 10Ω. Calculate the resistivity of its material?
Answer: a) Resistivity is defined as the characteristic property of a substance which is dependent on the nature of the substance and the temperature of the substance used in the conductor. It is...
Q13. Fill in the following blanks with suitable words: Resistance is measured in ………… the resistance of a wire increases as the length ………….. as the temperature ……… and as the cross-sectional area ……..
Answer: Ohm, increases, increases, and decreases respectively .
A 6V battery is linked in series with a 20 resistance electric bulb and a 4 resistance cable. Create a circuit schematic and perform the following calculations: a) The circuit’s total resistance b) the amount of electricity flowing through the circuit
a) given R1=20 , R2 =4, Total resistance of the circuit is given as: R = R1 + R2 = 20 + 4 = 24Ω b) We know that, V = IR Therefore, 6 = 24I I = 6/24 = 0.25amp
How many electrons are flowing per second past a point in a circuit in which there is a current of 5A?
Given that, Current, I $=5 \mathrm{~A}$ Time taken, $t=1 \mathrm{~s}$ We already know that, $\text{I}=\text{Q}/\text{t}$ $\text{Q}=\text{I}\times \text{t}=5\times 1=5\text{C}$ Total number of...
Consider the circuit given below where A, B, and C are three identical light bulbs of constant resistance. a) List the bulbs in order of increasing brightness b) If C burns out, what will be the brightness of A now compared with before?
Answer: a) Because it receives greater voltage than the other two, C will be the brightest of the three. However, as they are in a series combination, A and B will be equally brilliant. b) If C...
Q12. a) How does the resistance of a pure metal change if its temperature decreases? b) Hoes does the presence of impurities in a metal affect its resistance?
Answer: a) As the temperature drops, the material's resistance drops as well. b) The presence of impurities in a metal enhances the material's resistance.
Q11. Which has more resistance: a) A long piece of nichrome wire or a short one? b) A thick piece of nichrome wire or a thin piece?
Answer: Following has more resistance: a) A long piece of nichrome wire . b) A thin piece of nichrome wire .
a) Draw a circuit diagram showing two lamps, one cell, and a switch connected in series. b) How can you change the brightness of the lamps?
Answer: a) b) By connecting the lamps in parallel, the lamp's brightness can be adjusted.
Q10. Why are the coils of electric iron and electric toasters made of an alloy rather than a pure metal?
Answer: Electric iron and toaster coils are composed of an alloy rather than a pure metal for the following reasons: a) When compared to pure metal, an alloy's resistivity is higher. b) At high...
Using the circuit given below, state which of the following statement is correct? a) When S1 and S2 are closed, lamps A and B are lit b) With S1 open and S2 closed, A is lit and B is not lit c) With S2 open and S1 closed A and B are lit d) With S1 closed and S2 open, lamp A remains lit even if lamp B gets fused
Answer: The correct answer is c) A and B are illuminated when S2 is open, and S1 is closed.
Q9. Give two reasons why nichrome alloy is used for making the heating elements of electrical appliances.
Answer: The following are the two reasons why nichrome alloy is utilised to make electrical device heating elements: a) Nichrome has a very high resistance. b) At high temperatures, nichrome does...
An electric heater is connected to the 230V mains supply. A current of 8A flows through the heater. a) How much charge flows around the circuit each second? b) How much energy is transferred to the heater each second?
Given that, Potential difference $=230 \mathrm{~V}$ Current, I $=8 \mathrm{~A}$ a) $I=Q / t$ $8=\mathrm{Q} / 1$ $\mathrm{Q}=8 \times 1=8 \mathrm{C}$ Hence, the current is $8 \mathrm{C}$. b) We...
The lamps in a household circuit are connected in parallel because: a) this way they required less current b) if one lamp fails the others remain lit c) this way they require less power d) if one lamp fails the others also fail
Answer: The correct option is b) if one lamp fails, the others remain lit. The current going through the bulbs is different when they are connected in parallel. As a result, even if one lamp burns...
Q8. What is nichrome? State its one use.
Answer: Nickel, chromium, manganese, and iron are used to make nichrome alloys. Nichrome's resistivity is 60 times higher than copper's. It is utilised in the manufacture of the heating elements...
c) An electrician has wired a house in such a way that if a lamp gets fused in one room of the house, all the lamps in other rooms of the house stop working. What is the defect in the wiring? d) Draw a circuit diagram showing two electric lamps connected in parallel together with a cell and a switch that works both lamps. Mark an A enclosed in a circle on your diagram to show where an ammeter should be placed to measure the current.
Answer: c) All of the lamps are linked together in a series combination. d)
Q7. Name the material which is used for making the heating element of an electric iron.
Answer: The substance used to make the heating element of an electric iron is nichrome.
a) Which is the better way to connect lights and other electrical appliances in domestic wiring: series circuits or parallel circuit? Why? b) Christmas tree lamps are usually wired in series. What happens if one lamp breaks?
Answer: a) When it comes to household wiring, parallel circuits are preferable over series circuits. This is because when one of the electrical appliances fails, it affects the others. b) The bulbs...
Q6. Why are copper and aluminum wires usually used for electricity transmission?
Answer: Because copper and aluminium wires have low resistivities, they are employed for power transmission.
Draw a circuit diagram to show how 3 bulbs can be lit from a battery so that 2 bulbs are controlled by the same switch while the third bulb has its own switch.
If the amount of electric charge passing through a conductor in 10 minutes is 300C, the current flowing is: a) 30A b) 0.3A c) 0.5A d) 5A
Given, Charge moved $=300 \mathrm{C}$ Time taken $=10$ mins Current $=?$ $\mathrm{I}=\mathrm{Q} / \mathrm{t}$ By substituting the values, we get $\mathrm{I}=0.5 \mathrm{~A}$ hence, the correct...
Q5. Which among iron and mercury is a better conductor of electricity?
Answer: Between iron and mercury, iron is a better electrical conductor. Iron has a lower resistance than mercury, and we know resistance is inversely proportional to current. As a result, as...
A 9V battery is linked in series with resistors 0.2, 0.3, 0.4, 0.5, and 12 in series. What would be the current flow via the 12 resistor?
Answer Given, R1 = 0.2 Ω R2 = 0.3 Ω R3 = 0.4 Ω R4 = 0.5 Ω R5 = 12 Ω V = 9V Therefore, the resultant resistance is given as: R = R1 + R2 + R3 + R4 + R5 = 0.2 + 0.3 + 0.4 + 0.5 + 12 = 13.4 Ω...
If the current through a flood lamp is 5A, what charge passes in 10 seconds? a) 0.5C b) 2C c) 5C d) 50C
Given that, Current, I $=5 \mathrm{~A}$ Time taken, $t=10 \mathrm{~s}$ Charge moved, $Q=$ ? $\text{I}=\text{Q}/\text{t}$ $\text{Q}=\mid \times \text{t}$ $\text{Q}=50\text{C}$ hence, the correct...
Q4. Name the material which is the best conductor of electricity.
Answer: The best conductor of electricity is silver metal. This is due to the fact that, in comparison to other metals, the electrons in silver metal are open for free mobility.
Q3. On what factors does the resistance of a conductor depend?
Answer: The resistance of a conductor is determined by the following factors: a) The conductor's length . b) The conductor's cross-section .al area c) The conductor's temperature . d) The type of...
If you were going to connect two light bulbs to one battery, would you use a series or a parallel arrangement? Why? Which arrangement takes more current from the battery?
Answer: When the configuration is parallel, the battery's current consumption is higher. Any problem in one bulb will not influence the other operation because the bulbs are in a parallel...
Consider the circuits given below: a) In which circuit are the lamps dimmest? b) In which circuit or circuits are the lamps of equal brightness to the lamps in circuit? c) Which circuit gives out the maximum light?
Answer: Following is the right answer: c) The most significant amount of light is produced in the circuit (i). The resistance in the circuit is minimal because only one bulb is used, resulting in...
Consider the circuits given below: a) In which circuit are the lamps dimmest? b) In which circuit or circuits are the lamps of equal brightness to the lamps in circuit? c) Which circuit gives out the maximum light?
Answer: The following are the correct answers: a) The lamps in the circuit (ii) are the dimmest. Because the bulbs are connected in series, lowering the voltage in the rotation. b) The lamps in the...
Explain the terms “series combination” and “parallel combination” of resistance with graphics. In that situation, the resulting resistance is as follows: a) fewer b) more than either individual resistance?
Answer: When two or more resistances are connected end to end in a series combination, the resistances are said to be connected in series. The sum of all individual resistances equals the sum of any...
Q2. If the length of a wire is doubled by taking more of wire, what happens to its resistance?
Answer: When the length of the wire is twice, the resistance of the wire doubles. Because resistance is proportional to length, yet area of cross section is inversely related to resistance, this is...
Ten bulbs are connected in a series circuit to a power supply line. Ten identical bulbs are connected in a: a) an identical power supply line b) which circuit would have the highest voltage across each bulb? c) in which circuit would the bulbs be brighter? d) in which circuit, if one bulb blows out, all others will stop glowing? e) which circuit would have less current in it?
Answer: The following are the right answers: c) When a parallel circuit is employed, the appliance's operation can be regulated by individual switches. d) When appliances are linked in parallel,...
Ten bulbs are connected in a series circuit to a power supply line. Ten identical bulbs are connected in a: a) an identical power supply line b) which circuit would have the highest voltage across each bulb? c) in which circuit would the bulbs be brighter? d) in which circuit, if one bulb blows out, all others will stop glowing? e) which circuit would have less current in it?
Answer: The following are the correct answers: a) The circuit must be parallel to have an identical power supply line. b) Each bulb will have the highest voltage when the circuit is parallel.
How much energy is consumed when a current of 5 ampere flows through the filament of a heater having resistance of 100 ohms for two hours? Express it in joules.
Answer: Given in the question, I = 5A R = 100 ohm T = 2 hours It is known to us that, Energy consumed = P × T = I2RT Substituting the values, Energy consumed = 5kWh 1kWh = 3.6 × 106J Therefore we...
In the circuit below, get the current in each resistor:
Answer: Given, R1 = 6Ω R2 = 4 Ω V = 24V The two resistances are linked in parallel, according to the circuit schematic. Therefore, Current across R1 = I1 = V/R1 = 24/6 = 4amp Current across R2 = I2...
Q1. What happens to the resistance as the conductor is made thicker?
Answer: As the thickness of the conductor is increased, the resistance of the conductor decreases. This is because: R = (ρl)/(A) Where,R is the resistance . l is the length of the conductor , A is...
Define watt-hour. How many joules are equal to 1 watt-hour?
Answer: The quantity of electrical energy consumed when a 1 watt electrical appliance is used for 1 hour is measured in watt-hours. 1 watt-hour = 3600 joules.
Give three reasons why different electrical appliances in a domestic circuit are connected in parallel.
Answer: In a household circuit, different electrical appliances are linked in parallel because: a) The voltage distribution from the power supply line to each appliance is the same. b) Individual...
Calculate the total resistance in each situation as follows:
Given that R1 = 4Ω R2 = 4 Ω R3 = 3 Ω From the given circuit diagram, 1/R = 1/R1 + 1/R2 1/R = ¼ + ¼ R = 2 Ω Total resistance = R + R3 = 2 + 3 = 5 Ω
Q14. Classify the following into good conductors, resistors, and insulators: Rubber, mercury, nichrome, polythene, aluminium, wood, manganin, bakelite, iron, paper, thermocol, metal coin
Answer: Conductor: mercury, aluminium, iron, metal coin . Resistor: manganin, nichrome . Insulator: rubber, polythene, wood, bakelite, paper, thermocol .
Calculate the total resistance in each situation as follows:
a) Given that R1 = 500Ω R2 = 1000Ω From the above circuit diagram, R = R1 + R2 = 500 + 1000 =1500Ω b) Given that R1 = 2Ω R2 = 2Ω From the given circuit diagram, 1/R = 1/R1 + 1/R2 1/R = ½ + ½...
Define watt. Write down an equation linking watts, volts, and ampere.
Answer: The equation that connects watts, volts, and ampere is as follows: 1 watt = 1 volt × 1 ampere
Q13. Distinguish between good conductors, resistors, and insulators. Name two conductors, two resistors, and two insulators.
Answer: The following are the differences between excellent conductors, resistors, and insulators: Good conductors are those materials that have a low or negligible electrical resistance. Conductors...
A wire with resistance R is sliced into two sections of equal length. The two halves are connected in a parallel manner. What is the combination’s resistance?
Answer: Given that each part's resistance is R/2 Let's call the resulting resistance R'. 1/R’ = 2/R + 2/R R’ = R/4
What current will be taken by a 920W appliance if the supply voltage is 230V?
Answer: Given in the question, P = 920W V = 230V I = ? It is known to us that, P = VI 920 = 230I I = 920/230 I = 4A
Why is a series arrangement not used for connecting domestic electrical appliances in a circuit?
When connecting residential electrical appliances in a circuit, a series configuration is not used since if one of the electrical appliances fails, it affects all of the others. In addition, the...
An electric lamp is labelled 12V, 36W. This indicates that it should be used with a 12V supply. What other information does the label provide?
Answer: Another piece of information offered by the label is that the rate of energy consumption is 36J/s.
If the potential difference between the end of a wire of fixed resistance is doubled, by how much does the electric power increase?
Answer: We are aware of this, P =V2/R R is constant V is doubled Therefore, P = 2(V2)/R P = 4V/R As a result, when the resistance is doubled, the power is multiplied by four.
Which of the following resistor configurations, A or B, has the lowest total resistance?
Answer: The following is estimated when the resistance configuration from A is combined with the resistance arrangement from B: 1/R = 1/10 + 1/1000 = (100+1)/1000 R = 1000/101...
Draw a circuit diagram to show how two 4V electric lamps can be lit brightly from two 2V cells.
Answer: The circuit schematic below shows two 4V bulbs that are connected in parallel with 2V cells.
What is the meaning of the symbol kWh? Which quantity does it represent?
Answer: kWh stands for kilowatt-hour and is the commercial unit of electrical energy.
Which quantity has the unit of watt?
Answer: Electric power is measured in watts.
Name the quantity whose unit is kilowatt and kilowatt-hour.
Answer: Electric power is measured in kilowatts, and electric energy is measured in kilowatt-hours.
What is the SI unit of electric energy and electric power?
Answer: The joule is the SI unit of electric energy, and the watt is the SI unit of electric power.
Q12. Fill in the following blanks with a suitable word: Ohm’s law states a relation between potential difference and ……
Answer: The relationship between potential difference and current is described by Ohm's law.
An electric bulb is rated at 220V, 100W. What is its resistance?
Answer: It is given in the question, V = 220V P = 100W R = ? We know that, R = V2/P R = 484 ohm
Name the commercial unit of electric energy.
Answer: The kilowatt-hour is the commercial unit of electric energy.
Show how two 4 ohm resistors are connected to generate a total resistance of a) 2 ohms b) a resistance of 8 ohms
Answer: a) If you join them in parallel, 1R = 14 + 14 = 2/4 = 1/2 As a result, R = 2 ohm. b) By joining them in a sequence, R = 4 + 4 = 8 As a result, R = 8 ohm.
What are the various results of merging two resistances, one of value 2 ohm and the other of value 6 ohm?
Answer: given R1 = 2 Ohm R2 = 6 Ohm Let case 1 be parallel combination 1/R = 1/R1 + 1/R2 1/R = ½ + 1/6 = 4/6 R = 6/4 = 1.5 ohm Let case 2 be series combination R = R1 + R2 = 2+6 = 8...
Which type of circuit, series or parallel, is preferred while connecting a large number of bulbs: a) for decorating a hotel building from outside? b) for lighting inside the rooms of the hotel?
Answer: When the following type of circuit is used: a) The exterior of the hotel will be decorated in a series manner. The exterior lights do not need the same voltage difference b) lighting the...
Q11. A current of 5 amperes flows through a wire whose ends are at a potential difference of 3 volts. Calculate the resistance of the wire.
Answer: Given in question : Current, I = 5A Potential difference, V = 3V We know that, V = IR Therefore, 3 = 5 × R R = 3/5 = 0.6 Ohms
Which one has a higher electrical resistance: a 100 watt bulb or a 60 watt bulb?
Answer: Because we know that power is inversely related to resistance, a 60 watt bulb has a larger electrical resistance than a 100 watt bulb.
Two resistances, X and Y, are connected in series and parallel, respectively. Which means that the combined resistance will be lower than either of the separate resistances?
Answer: The resultant resistance will be less than either of the individual resistances when the two resistances X and Y are coupled in parallel.
Q10. A resistance of 20 ohms has a current of 2 amperes flowing in it. What potential difference is there between its ends?
Answer: Given in question : Resistance, R = 20 Ohms Current, I = 2 amp We know that, V = IR Therefore, V = 2 × 20 = 40V
How should the two 2 ohm resistances be put together to form a 1 ohm equivalent resistance?
Answer: The two resistances of 2 ohms must be connected in parallel to produce an equivalent resistance of 1 ohm.
Q9. A potential difference of 20V is applied across the ends of a resistance of 5 ohms. What current will flow in the resistance?
Answer: Given in question : Potential difference, V = 20V Resistance, R = 5 Ohms Current, I = ? We know that, V = IR 20 = I × 5 I = 20/5 = 4A
What will the overall resistance be if three 3 ohm resistances are connected in parallel?
Answer: Given, R1 = R2 = R3 = 3Ω 1/R = 1/R1 + 1/R2 + 1/R3 = 1/3 + 1/3 + 1/3 = 3/3 = 1 Therefore, R = 1Ω
What happens to the other bulbs in a parallel circuit if one bulb blows off?
Answer: When the bulbs are connected in a parallel configuration, they continue to glow. This occurs because the electricity flow is not disrupted, and the voltage differential between the other...
State two factors on which the electrical energy consumed by an electrical appliance depends.
Answer: The electrical energy required by an electrical equipment is determined by the following two factors: a) The appliance's usage time b) The appliance's power rating
Q8. Keeping the potential difference constant, the resistance of a circuit is halved. By how much does the current change?
Answer: Given in question : Potential difference = constant Also, we know that, V = IR I = V/R Given that V is constant, therefore, I will be proportional to 1/R. Therefore, when R is halved, I also...
In parallel, state the law of resistance combination.
Answer: The reciprocal of the combined resistance of a number of parallel resistances is equal to the total of the reciprocals of all the individual resistances, according to the law of parallel...
Q7. Which has less electrical resistance: a thin wire or a thick wire of the same length and same material?
Answer: Because the number of electrons present in the thick wire is more than that of the thin wire, a thick wire of the same length and substance will have less electrical resistance.
What happens to the other bulbs in a series circuit if one bulb blows off?
Answer: All of the other bulbs stop glowing when the bulbs are joined in series. Because the electrical appliances work on a definite voltage difference and in the series combination, the voltage...
What will the resultant resistance be if five 0.2 ohm resistances are linked in series?
Answer: The cumulative resistance of any number of resistances connected in series equals the individual resistances, according to the law of series combination of resistances. R = R1 + R2 + R3 + R4...
Q6. State the factors on which the strength of electric current flowing in a given conductor depends.
Answer: The following are the factors that influence the strength of an electric current flowing through a conductor: a) The voltage (or potential difference) between the conductor's ends b) The...
Are the lights in your house wires in series?
Answer: In our homes, the lights are not connected in a series. They are linked in a parallel manner. The home's electric appliances are connected in parallel combinations to achieve the same...