A series RLC circuit has resistance

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

R = 40\,\Omega

, inductance

L = 0.20\,\text{H}

and capacitance

C = 50\,\mu\text{F}

. It is connected to an adjustable sinusoidal source of amplitude

V_{\text{rms}} = 220\,\text{V}

. (i) Calculate the natural (resonant) frequency

f_{0}

of the circuit. (ii) When the source frequency is set equal to

f_{0}

, determine the amplitude of the rms current in the circuit. (iii) If the source frequency is increased to

1.30\,f_{0}

, calculate the magnitude of impedance and the phase angle between source voltage and current at this frequency.