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Q. In the circuits $(a)$ and $(b)$ switches $S_1$ and $S_2$ are closed at $t = 0$ and are kept closed for a long time. The variation of currents in the two circuits for $t \, \ge \, 0$ are roughly shown by (figures are schematic and not drawn to scale) :Physics Question Image

JEE MainJEE Main 2015Electromagnetic Induction

Solution:

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In capacitor circuit at time $t = o$ capacitor behaves like zero resistance and the current is maximum i.e. $\frac{ E }{ R }$ in circuit, after infinite time the capacitor offers infinite resistance like and current in the circuit is zero. In inductive circuit at time $t=0$ inductor behaves like infinite resistance and the current is zero in circuit, after infinite time the capacitor behaves like zero resistance and current in the circuit is maximum i.e. $\frac{ E }{ R }$.