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?

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?

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter8: Basic Electric Motors

Section: Chapter Questions

Problem 25RQ: List the five capacitor replacement rules.

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Question

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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