Answered: In a series resonant circuit, a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

In a series resonant circuit, a resistor of resistance 500 ohm, an inductor of inductance 4.5 henry (H) and a capacitor of unknown capacitance are present. If the resonant frequency is 20 kHz, then what will be the value of the capacitance?

Expert Solution

Step 1

For a series resonant circuit, the value of the resonance frequency (f₀) can be expressed as

Step 2

In this case, the values of the resistance and the inductance present in the series resonant circuit are given as

Also, the value of the frequency of resonance in this case is 20 kHz.

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