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

Given Capacitance value of the capacitor is , C=30\mu F=30\times {{10}^{-6}}F

Given Inductance value of the charged inductor will be , L=27mH=27\times {{10}^{-3}}H

Angular frequency according to the question is ,

{{\omega }_{r}}=\frac{1}{\sqrt{LC}}

{{\omega }_{r}}=\frac{1}{\sqrt{27\times {{10}^{-3}}\times 30\times {{10}^{-6}}}}=\frac{1}{9\times {{10}^{-4}}}=1.11\times {{10}^{3}}rad{{\sec }^{-1}}

Hence, the calculated angular frequency of free oscillation of the connection will be 1.11\times {{10}^{3}}{{s}^{-1}}

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