A series circuit meant for radio reception has and

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

Problem

A series

LCR

circuit meant for radio reception has

L = 50\,\mu\text{H}

and

R = 2\,\Omega

. It is intended to receive a carrier frequency of

1.0\,\text{MHz}

with a bandwidth not exceeding

10\,\text{kHz}

. (i) Calculate the quality factor

Q

required for the desired bandwidth. (ii) Using this

Q

, determine whether the given circuit meets the specification; if it does not, calculate the maximum resistance that would satisfy the requirement.