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 _______.

The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all frequencies is ________.

In the circuit shown below, the supply voltage is 10sin(1000t) volts. The peak value of the steady state current through the 1Ω resistor, in amperes, is _________.

In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second then heat generated by the 4 Ω resistance, the calories per second, is ______.