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Question

A voltage source V = V subscript 0 end subscript sin (100 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 –

  1. increase exponentially with time constant = 0.02 sec.    
  2. decrease exponentially with time constant = 0.01 sec.    
  3. oscillate with angular frequency 20 rad/sec    
  4. first increase and then decrease    

The correct answer is: oscillate with angular frequency 20 rad/sec

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