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

Explanation

Capacitance, `C=30muF=30xx10^(-6)F`
Inductance, L=27mH=`27xx10^(-3)H`
Angular frequency is given as:
`omega_(r)=(1)/sqrt(LC)`
`=(1)/sqrt(27xx10^(-3)xx30xx10^(-6))=(1)/(9xx10^(-4))=1.11xx10^(3)`rad/s
Hence, the angular frequency of free oscillations of the circuit is `1.11xx10^(3)` rad/s.