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Electrostatic Potential And Capacitance

Question

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

Solution

Given,
Capacitance, $C = 30 μF = 30 \times 10^{- 6} F$

$Inductance of the inductor, L = 27 mH = 27 \times 10^{- 3} H Angular frequency of free oscillations in the circuit, ω_{r} = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{27 \times 10^{- 3} \times 30 \times 10^{- 6}}} = \frac{10^{4}}{9} = 1.1 \times 10^{3} s^{- 1}$

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Electrostatic Potential And Capacitance

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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