The circular coil C1 has a radius of R, a length of L, and a number of turns per unit length of n1 = L/2R. The square C2 has a side, a perimeter, and a number of turns per unit length of n2 = L/4a....
The declination is zero, P is in the plane, S is in the north, and P is in the plane. The declination for point P is 0 since it is in the plane S created by the dipole axis and the earth's axis....
a) |B| is minimum at the magnetic equator. b) Angle of dip is zero when θ = π/2 c) When dip angle is ±45o θ = tan-1 is the locus.
χm = I/H = intensity of magnetisation/magnetising force χ is dimensionless as I and H has the same units χ = 10-4
Magnetic field = 0M/4(1/a2-1/R2) along the z-axis b) On the circular arc, the magnetic field at point A is = 0m/4R2. c) (d) The magnetic moment is 0
The amperian loop is denoted by the letter C. We can find the angle between the two points by solving the above equation. cos is negative because it is greater than 90o.
T stands for the time period. The moment of inertia is me. The magnet's mass is m. B stands for magnetic field. T = 2I/MB M' = M/2 magnetic dipole moment T' = T/2 is the time period.
pE sin θ = μB sin θ pE = μB E = cB pcB = μB p = μ/c
P is the point at a distance r from O and OP, then the magnetic field is given as: dS is the elementary area of the surface P, then dS = r2 (r2 sin θ d θr) Solving the above we...
I The superconducting material will repel the bar magnet. ii) The magnetic moment will be directed from left to right.
The temperature has little effect on the temperature dependence of susceptibility for a diamagnetism. The temperature affects the temperature dependence of susceptibility for paramagnetism and...
nitrogen Density = 28 g/ 22400 cc copper Density = 8 g/ 22400 cc Ratio = 16 × 10-4 Diamagnetic susceptibility = density of nitrogen/density of copper = 1.6 × 10-4
A comparison of a proton's and an electron's spinning is made by comparing their magnetic dipole moment, which is given as μp = eh/4πmp μe = eh/4πme μp/μe = me/mp = 1/1837 >> 1 μp << μe...
b) can be zero at specific points c) can be positive or negative d) is bounded
a) electrostatic field lines can end on charges and conductors have free charges c) lines of B cannot end on any material and perfect shielding is not possible d) shells of high permeability...
a) the H field in the solenoid is unchanged but the B field decreases drastically d) the magnetisation in the core diminishes by a factor of about 108
a) atomic currents d) intrinsic spin of electron
a) lines of B are necessarily continuous across S d) lines of H cannot all be continuous across S
b) 2/3 Am-1
b) In the case of magnetic fields, instance (ii) violates Gauss's law.
d) all of the domains are exactly matched
c) is zero; otherwise, a field dropping as 1/r3 at great distances outside the toroid would exist.
(d) The earth may have even reversed the direction of its field several times during its history of 4 to 5 billion years. How can geologists know about the earth’s field in such a distant past? (e)...
(a) The earth’s magnetic field varies from point to point in space. Does it also change with time? If so, on what time scale does it change appreciably? (b) The earth’s core is known to...
Answer- Mean radius of the Rowland ring is given = 15 cm Number of turns = 3500 Relative permeability of the core is given by μr = 800 Magnetizing current is given by I = 1.2 A Magnetic field...
Answer – Energy of the electron beam is given by E = 18 keV Or, E = 18 x 103 eV = 18 x 103 x 1.6 x 10-19 J Magnetic field is given by B = 0.04 G Mass of the electron is given by...
Answer- Magnitude of one of the magnetic field is given by B1 = 1.2 × 10–2 T Suppose that the magnitude of the other field is B2 And the angle between the field is given, θ = 60° We...
Answer: Number of turns is given = 30 Radius of the coil is given = 12 cm Current in the coil is given = 0.35 A Angle of dip, given by δ = 450 (a) Horizontal component of earth’s magnetic field...
Answer – First it is important to decide the direction which would best represent the given situation. We are given that BH = B cos δ = 0.39 × cos 35o G Therefore, BH =...
Answer – Current in the wire is given by 2.5 A The earth’s magnetic field at a location is given by R= 0.33 G = 0.33 x 10-4 T Angle of dip is zero is given by δ = 0 Horizontal...
Answer – (a) When a substance is placed in an external magnetic field, the domain aligns in the direction of the magnetic field. The process of alignment consumes some energy. The substance retains...
Answer – (a) At a lower temperature, thermal motion is reduced, and the tendency to disturb the alignment of the dipoles is reduced. (b) The induced dipole moment is always in the opposite direction...
Answer : Magnetic moment of the bar magnet is given by M = 5.25 × 10–2 J T–1 Magnitude of earth’s magnetic field at a place is given by H = 0.42 G = 0.42×10-4 T The magnetic field on the...
Answer – The magnetic field at a distance d1 = 14 cm on the axis of the magnet can be written as – ${{B}_{1}}=\frac{{{\mu }_{0}}2M}{4\pi {{d}_{1}}^{3}}=H$ Where, M is the magnetic moment...
Answer : Earth’s magnetic field at the given place is given by H = 0.36 G The magnetic field at distance d from the axis of the magnet can be calculated using the following formula –...
Magnetic moment of the bar magnet is given by M = 0.48 J T–1 Distance, d = 10 cm = 0.1 m The magnetic field at distance d from the magnet's centre on the axis can be calculated using the following...
Answer – We are given the angle of declination, θ = 12° Angle of dip, given by δ = 60° Horizontal component of earth’s magnetic field is given by BH = 0.16 G Earth’s magnetic field at the given...
Answer – Horizontal component of earth’s magnetic field is given by BH = 0.35 G Angle made by the needle with the horizontal plane is known as the Angle of dip, given by δ=22° Earth’s magnetic field...
Answer – Number of turns in the circular coil is given by N = 16 Radius of the coil is given by r = 10 cm = 0.1 m Cross-section of the coil, A is given by – $A=\pi {{r}^{2}}=\pi {{(0.1)}^{2}}$...
(a) What is the magnetic moment associated with the solenoid? (b) What is the force and torque on the solenoid if a uniform the horizontal magnetic field of 7.5 × 10–2 T is set up at an angle...
(a) What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment: (i) normal to the field direction, (ii) opposite to the field direction? (b) What...
Answer – Magnetic field strength is given by B = 0.25 T Magnetic moment is by M = 0.6 T-1 The angle θ between the direction of the applied field...
Answer – It is given that the number of turns in the solenoid, n = 800 Area of cross section is given by, A = 2.5×10-4 m2 And the current in the solenoid, I = 3.0 A Because a magnetic field develops...
Answer – Moment of the bar magnet is given by M = 0.32 JT–1 External magnetic field, is given by B = 0.15 T The magnetic field is aligned with the bar magnet. This system is said to be in...
Answer – We are given the magnetic field strength, B = 0.25 T Torque on the bar magnet is given by, T = 4.5×10-2J Θ = 30° is the angle between the external magnetic field and the bar...
(a) A vector needs three quantities for its specification. Name the three independent quantities conventionally used to specify the earth’s magnetic field. (b) The angle of dip at a location in...
(a) The earth’s magnetic field varies from point to point in space. Does it also change with time? If so, on what time scale does it change appreciably? (b) The earth’s core is known to...