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A unit step voltage is applied at t = 0 to a series RL circuit with zero initial conditions.
It is possible for the current to be oscillatory.
The voltage across the resistor at
is zero.
The energy stored in the inductor in the steady state is zero.
The resistor current eventually falls to zero.
The circuit before closing the switch and under steady state is shown below,

Before t = 0, 
Current in an Inductor is continuous, 
At steady state inductor will be short circuited.


The current as a function of ‘t’ is given by,


Hence current is exponential = option (A) & (D) are wrong.
Since at
current through resistor inductor combination is zero. 
So voltage across resistor at 
= 0 x R
Since current at steady state is
and is non – zero.
So the energy stored at steady state in non – zero.
Hence option (c) is not correct.