Write the expression for the frequency of oscillation of an $LC$ circuit.
(N/A) In an $LC$ circuit consisting of an inductor $L$ and a capacitor $C$,the energy oscillates between the magnetic field of the inductor and the electric field of the capacitor.
The angular frequency of oscillation $\omega$ is given by the formula:
$\omega = \frac{1}{\sqrt{LC}}$
The frequency of oscillation $f$ is related to the angular frequency by $f = \frac{\omega}{2\pi}$.
Substituting the value of $\omega$,we get:
$f = \frac{1}{2\pi\sqrt{LC}}$
Here,$f$ is the frequency in Hertz $(Hz)$,$L$ is the inductance in Henry $(H)$,and $C$ is the capacitance in Farad $(F)$.
The angular frequency of oscillation $\omega$ is given by the formula:
$\omega = \frac{1}{\sqrt{LC}}$
The frequency of oscillation $f$ is related to the angular frequency by $f = \frac{\omega}{2\pi}$.
Substituting the value of $\omega$,we get:
$f = \frac{1}{2\pi\sqrt{LC}}$
Here,$f$ is the frequency in Hertz $(Hz)$,$L$ is the inductance in Henry $(H)$,and $C$ is the capacitance in Farad $(F)$.
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