Question

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

Answer 1

Given: A charged 30 μF capacitor is connected to a 27 mH 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 =1.11 rad/s

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