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?
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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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