Question

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

Answer 1

Capacitance, C = 30 μF = 30 × 10⁻⁶ F

Inductance, L = 27 mH = 27 × 10⁻³ H

Angular frequency is given as:

ω = `1/sqrt"LC"`

= `1/sqrt(27 xx 10^-3 xx 30 xx 10^-6)`

= `1/(9 xx 10^-4)`

= 1.1 × 10³ rad/s

Hence, the angular frequency of free oscillations of the circuit is 1.1 × 10³ rad/s.