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JEE MainPhysicsCurrent Electricity

A 12 V DC ideal battery is connected across a circuit. The circuit consists of a 12 resistor connected directly across the battery, and a second branch connected in parallel with it. This second branch consists of a 2 resistor in series with a parallel pair of resistors: an unknown resistor R and a 6 resistor. A 10 F capacitor is connected from the junction of the 2 resistor and the parallel pair, leading to another

Correct answer

3

Step-by-step solution

In the steady state, the capacitor is fully charged and acts as an open circuit. Therefore, no current flows through the capacitor and the complex network attached to it. The active part of the circuit simply consists of the 12 resistor in parallel with the second branch. The total power dissipated by the circuit is given by P = V^2 R_ eq . Substituting the given values: 48 = (12)^2 R_ eq R_ eq = 144 48 = 3 The equivalent resistance of the active circuit is the parallel combination of the 12 branch and the second b

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