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A charged 30 mu F capacitor is connected...

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

Text Solution

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Capacitance of capacitor
`C = 30 mu F = 30xx10^(-6)F`
Inductance `L = 27mH = 27xx10^(-3)H`
For free oscillations, the angular frequency should be resonant frequency. Resonant angular frequency of oscillation of the circuit
`omega_(r )=(1)/(sqrt(LC))`
`= (1)/(sqrt(27xx10^(-3)xx30xx10^(-6)))=(10^(4))/(9)`
`= 1.1xx10^(3)` rad/s
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