A charged 30 μF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?
The capacitor C = 30 μF = 30 × 10 -6 F
Inductor L = 27 mH = 27 × 10-3 H
The diagram is given :
Angular frequency ωr is given by the following:
ωr = 1/√ LC
ωr = 1/{√(27 × 10-3H × 30 × 10-6F)}
on calculating, we get
ωr = 1.11 × 103 rad/s