In the given circuit, the parameter k is positive, and the power dissipated in the 2 Ω resistor is 12.5 W. The value of k is ________.

For the given circuit the Thevenin equivalent is to be determined. The Thevenin voltage, V_Th (in volt), seen from terminal AB is _________.

An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current i is increased, the impedance (Z) of the network varies as

The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in volt) is given by v(t) = 12sint. If the circuit is in steady-state, then the rms value of the current (in Ampere) flowing in the circuit is ______.