A radio–tuning section can be modelled as a series circuit with

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

Problem

A radio–tuning section can be modelled as a series

RLC

circuit with

R = 15\,\Omega

L = 0.50\,\text{H}

and

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

. The r.m.s. value of the applied sinusoidal voltage is

220\,\text{V}

. (a) Calculate the resonant frequency (in hertz) of the circuit. (b) Determine the r.m.s. current at resonance. (c) Find the two angular frequencies at which the r.m.s. current falls to

\dfrac{1}{\sqrt{2}}

of its value at resonance. (d) Using the results of part (c), compute the bandwidth (in rad s

^{-1}

) and the quality factor

Q

of the circuit.

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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