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Compare the power used in the 2 Ω resistor in each of the following circuits: (i) a 6 V battery in series with 1 Ω and 2 Ω resistors, and (ii) a 4 V battery in parallel with 12 Ω and 2 Ω resistors.

(i) Because the resistors 1 and 2 are linked in series and the potential difference is 6 V, their equivalent resistance is 1 + 2 = 3. Using Ohm’s law, the current in the circuit may be computed.

As a result, the 2 consumes 8 W of electricity.

(ii) The voltage across the resistors remains the same when 12 and 2 resistors are linked in parallel. Knowing that the voltage across two resistors is 4 V, the power used by the resistor may be calculated as follows: