In the circuit shown, switch S₂ has been closed for a long time. A time t = 0 switch S₁ is closed. At t=0⁺ , the rate of change of current through the inductor, in amperes per second, is _______.

In the Fig. shown, all elements used are ideal. For time t<0, S₁ remained closed and S₂ open. At t=0, S₁ is opened and S₂ is closed.If the voltage V_C2 across the capacitor C₂ at t = 0 is zero, the voltage across the capacitor combiation at t = 0⁺ will be

The time constant for the given circuit will be

In the circuit shown in Fig. switch $$S{w_1}$$ is initially CLOSED and $$S{w_2}$$ is OPEN. The inductor $$L$$ carries a current of $$10$$ $$A$$ and the capacitor is charged to $$10$$ $$V$$ with polarities as indicated. $$S{w_2}$$ in initially CLOSED at $$t = {0^ - }$$ and $$S{w_1}$$ is OPENED at $$t=0.$$ The current through $$C$$ and the voltage across $$L$$ at $$t = {0^ + }$$ is