A designer is constructing a series RLC circuit to work with a source

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

Problem

A designer is constructing a series RLC circuit to work with a

24\,\text{V}_{\mathrm{rms}}

source. The circuit must resonate precisely at

5.0\,\text{kHz}

while using a fixed capacitor of

100\,\text{nF}

. (i) Calculate the inductance required so that the circuit resonates at

5.0\,\text{kHz}

with the given capacitor. (ii) If the rms current at resonance must not exceed

0.12\,\text{A}

, determine the minimum series resistance needed. (iii) The resistor must also keep the power dissipated in it at resonance below

1.5\,\text{W}

. Taking this additional condition into account, find the final resistance value that should be used in the design.