In a certain series RLC circuit

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

R=40\,\Omega

L=0.20\,\text{H}

and

C=2.0\,\mu\text{F}

. When connected to an AC source, the current is observed to lag behind the voltage by

30^{\circ}

. (i) Derive an expression that relates the driving angular frequency

\omega

to the given phase angle of

30^{\circ}

for this circuit. (ii) Calculate the numerical value of the frequency

f

(in Hz) that produces this phase difference. (iii) State, with a brief justification, whether the frequency obtained in part (ii) is higher or lower than the resonant frequency of the circuit.

Related theory

Resonance in AC Circuits
AC Circuit Analysis
Series LCR circuit
AC applied to a series LCR circuit
Alternating Current

Browse the problem library