Question

A charged 30 $\mu$F capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?

Answer 1

Given: The inductance in the circuit is $27mH$.

The capacitance in the circuit is $30\mu F$.

To find: The angular frequency of free oscillations.

The resonant frequency is given by

${\omega }_r=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{27\times {10}^{-3}\times 30\times {10}^{-6}}}$

$\Rightarrow 1111.11rad/s$ or

$\Rightarrow 1.11\times {10}^{3}rad/s$