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Question

Physics Question on Alternating Current

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

Answer

Capacitance, C = 30µF = 30×10−6 F Inductance, L = 27 mH = 27 × 10−3 H Angular frequency is given as:

ωr=1√LC=1√27×10×−3×30×10−6=19×10−4=1.11×103rad/sωr=\frac{1}{√LC}= \frac{1}{√27×10×^{-3}×30×10^-6}=\frac{1}{9×10^{-4}}=1.11×10^3 rad/s

Hence, the angular frequency of free oscillations of the circuit is 1.11 × 103 rad/s.