Q7 of 31 Page 266

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


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