For the given circuit the current i through the battery when the key in closed and the steady state has been reached is __________.

In an ac circuit, an inductor, a capacitor and a resistor are connected in series with X_L = R = X_C. Impedance of this circuit is :

In the given circuit the AC source has $$\omega$$ = 100 rad s^-1. Considering the inductor and capacitor to be ideal, what will be the current I flowing through the circuit?

A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$$\Omega$$, an inductor of inductive reactance X_L = 250 $$\pi$$$$\Omega$$ and an unknown capacitor. The value of capacitance to maximize the average power should be : (Take $$\pi$$² = 10)