Physics

Problem

In a certain series RLC circuit

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}

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

\omega

to the given phase angle of

30^{\circ}

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

f

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

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