For an RLC circuit driven with voltage of amplitude `v_m` and frequency `omega_0=1/sqrt(LC)` the current exibits resonance. The quality factor, Q is given by

A series circuit consisting of a capacitor with capacitance C=22 mu F and a coil with active resistance R=20 Omega and iniductance L=0.35 H is connected to a source of alternating voltage with amplitude V_(m)=180 V and frequency omega=314 s^(-1) . Find : (a) the current amplitude in the circuit, (b) the phase difference between the current and the external voltage , (c) the amplitudes of voltage across the capacitor and the coil.

A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23Omega is connected to a 230 V variable frequency supply. a. What is the source frequency for which current amplitude is maximum? Obtain this maximum value. b. What is the source frequency for which average power absorbed by the circuit is maximum? Obtain the value of this maximum power. c. For which frequencies of the source is the power transferred to the circuit half the power at resonant frequency? What is the current amplitude at these frequencies? d. What is the Q-factor of the given circuit?

A sinusoidal voltage of amplitude 5V is applied to resistance of 500 Omega . The r.m.s. current in the circuit is