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Question:

In the circuit (a) and (b) switches S1 and S2 are closed at t=0 and are kept closed for a long time. The variation of currents in the two circuits for t≥0 are roughly shown by (figures are schematic and not drawn to scale).

Solution:

In capacitor circuit at time t=0 capacitor behaves like zero resistance and the current is maximum i.e. E/R in circuit, after infinite time the capacitor offers infinite resistance 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. E/R.