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 figure, transformer $${T_1}$$ has two secondaries, all three windings having the same number of turns and with polarities having the same number of turns and with polarities as indicated. One secondary is shorted by a $$10\,\Omega $$ resistor $$R,$$ and the other by a $$15\mu F$$ capacitor. The switch $$SW$$ is opened $$(t=0)$$ when the capacitor is charged to $$5$$ $$V$$ with the left plate as positive. At $$t=0+$$ the voltage $${V_P}$$ and current $${I_R}$$ are