Resonant Frequency Formula

The resonant frequency is the frequency of a resonant circuit. A Resonant circuit is also identified as LC circuit or tank circuit. This circuit comprises of inductor and capacitor attached parallel to each other. The resonant circuit is used to create a particular frequency or to select a particular frequency from a complex circuit. So, the resonant frequency formula is articulated as,

$f_{0}=\frac{1}{2\pi&space;\sqrt{LC}}$

Where,  the resonant frequency is f0 , the inductance is L  and the capacitance is C

Resonant Frequency Solved Examples

Solved numerical of resonant frequency are provided below:

Problem 1: Compute the resonant frequency of a circuit whose inductance is 25mH and capacitance is 5μF?

Known values are,
L = 25mH and

C = 5μF
The formula for resonant frequency is articulated as,

$f_{0}=\frac{1}{2\pi&space;\sqrt{LC}}$

$f_{0}=\frac{1}{2\times3.14\sqrt{25\times10^{-3}\times5\times10^{-6}}}$

f0 = 450.384Hz

Problem  2: The capacitance and inductance of a resonant circuit is given as 0.5F and 1H. Compute the resonant frequency of the circuit?

$f_{0}=\frac{1}{2\pi&space;\sqrt{LC}}$
$f_{0}=\frac{1}{2\times3.14\sqrt{1\times0.5}}$