Physics

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. (a) Calculate the resonant frequency (in hertz) of the circuit. b. (b) Determine the r.m.s. current at resonance. c. (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. (d) Using the results of part (c), compute the bandwidth (in rad s

^{-1}

) and the quality factor

Q

of the circuit.

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