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Question

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

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Solution

Given: A charged 30μF capacitor is connected to a 27mH inductor.

The angular frequency of the free oscillations of the given circuit is given as,

ω= 1 LC

Where, the inductance of the circuit is L and capacitance of the circuit is C.

By substituting the given values in the above equation, we get

ω r = 1 27× 10 3 ×30× 10 6 =1.11rad/s

Thus, the angular frequency of the free oscillations of the given circuit is 1.11rad/s.


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