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Resonant Frequency Formula

Resonant Frequency

The resonant frequency is the frequency of a resonant circuit. The other name of the resonance circuit is a tank circuit of LC circuit. The resonant circuit consist of a parallel-connected capacitor and inductor in it. Resonant circuit is mainly used to generate a specific frequency or to consider a specific frequency from the complicated circuit a resonant circuit is being used. The formula of resonant frequency is

\(\begin{array}{l}f_{o}=\frac{1}{2\pi \sqrt{LC}}\end{array} \)

Where

fo = resonant frequency in Hz

L = Inductance

C = Capacitance

Solved Examples

Example 1: Determine the resonant frequency of a circuit whose inductance is 35mH and capacitance is 10μF?

Answer:

Given

L = 35mH and

C = 10μF

The resonant frequency formula

\(\begin{array}{l}f_{o}=\frac{1}{2\pi \sqrt{LC}}\end{array} \)

 

\(\begin{array}{l}f_{0} = \frac{1}{2\times 3.14\times \sqrt({35\times 10^{-3}}\times 10\times 10^{-6})}\end{array} \)

f0 = 269.16 Hz

Example 2: The capacitance and inductance of a resonant circuit are given as 0.5F and 1H. Calculate the resonant frequency of the circuit?

Answer:

Given

L = 1H and

C = 0.5F

The formula for resonant frequency is

\(\begin{array}{l}f_{o}=\frac{1}{2\pi \sqrt{LC}}\end{array} \)
\(\begin{array}{l}f_{o}=\frac{1}{2\times 3.14\times \sqrt{1\times 0.5}}\end{array} \)

f0 = 0.2251Hz

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