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

Q7.7  A charged 30\mu F capacitor is connected to a 27mH  inductor. What is the angular frequency of free oscillations of the circuit?

Answers (1)
P Pankaj Sanodiya

Given

Capacitance  C=30\mu F=30*10^{-6}

Inductance L = 27mH = 27*10^{-3}H

Now,

Angular Frequency 

\omega _r=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{30*10^{-6}*27*10^{-3}}}=1.11*10^{3}rad/sec

Hence Angular Frequency is 1.11*10^{3}rad/sec

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