A student is provided with a resistor of resistance

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

Problem

R = 50\,\Omega

, an inductor of inductance

L = 200\,\text{mH}

and a capacitor of capacitance

C = 100\,\mu\text{F}

connected in series to a sinusoidal source of rms voltage

V = 220\,\text{V}

operating at frequency

f = 50\,\text{Hz}

. (a) Calculate the impedance Z of the circuit at this frequency. (b) Determine the phase angle φ between the supply voltage and the current. (c) Compute the power factor of the circuit and state whether the current leads or lags the voltage. (d) Find the resonant frequency of the circuit and the impedance at resonance.

Related theory

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

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