How to Find Resonance Frequency of LC Circuit Connected in Series - Formula, Example

How to Find Resonance Frequency of LC Circuit Connected in Series - Formula, Example

Definition:

The frequency at which the inductive and capacitive reactances of a series resonant circuit are equal. The frequency at which the series impedance of a series resonant connected in circuit is maximum.

Formula :
Resonant frequency = 1 / 2 π LC
where,

L=value of Inductance C=value of capacitor

Example:

Find out the resonance frequency of the series LC circuit which has capacitance value 3 uF and Inductance 7 uF.

Given,

Capacitance (C) = 3 uF Inductance (L) = 7 uF

Solution
Resonance frequency =1 / 2 π LC
= 1/2 x 22/7 x 3 x 7
= 1/2 x 3.14 x 21
=32503.8447822 Hz

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