# Solved Problems-4

Problems-4
In the network shown in the figure, the switch S is closed and a steady state is attained. At t = 0, the switch is opened. Determine the current through the inductor for t > 0.

Solution
When the switch S is closed and the steady-state exists, the current through the inductor is,
i(0 â€“) =  = 2 A

The voltage across the capacitor, VC (t) = 0 as it is shorted.

For t > 0, the switch is opened. By KVL,

Taking Laplace transform,
or

Putting the values,

Taking inverse Laplace transform,