A voltage source \( V=V_{0} \sin (100 \mathrm{t}) \) is connected t...
A voltage source \( V=V_{0} \sin (100 \mathrm{t}) \) is connected to a black box in which there can be either one element out of \( L, C, R \) or any two of them connected in series.
At steady state the variation of current in the circuit and the source voltage are plotted together with time, using an oscilloscope, as shown
If AC source is removed, the circuit is shorted for some time so that capacitor is fully discharged and - then a battery of constant EMF is connected across the black box, at \( t=0 \). The current in the circuit will
(A) increase exponentially with time constant \( =0.02 \mathrm{sec} \).
(B) decrease exponentially with time constant \( =0.01 \mathrm{sec} \).
(C) oscillate with angular frequency \( 20 \mathrm{rad} / \mathrm{sec} \)
(D) first increase and then decrease
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