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