For a series circuit the values are

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

For a series

LCR

circuit the values are

L = 200\,\mathrm{mH}

C = 50\,\mathrm{nF}

and

R = 10\,\Omega

. A sinusoidal source of constant peak voltage is applied. (i) Calculate the resonant angular frequency

\omega_0

. (ii) Determine the two angular frequencies

\omega_1

and

\omega_2

at which the current amplitude becomes

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

of the maximum. (iii) Hence find the bandwidth

\Delta\omega

. (iv) Compute the quality factor

Q

of the circuit. (v) Comment, with reasons, on whether the resonance is sharp or broad for the given values.