A series LRC circuit comprising of an inductor of inductance 3H, a resistor of resistance `7.4Omega` and a capacitor of capacitance `27muF`. When connected to an a.c source, the circuit resonates at a particular frequency. Calculate angular resonant frequency and quality factor of the resonant circuit.

Explanation

Given, `L=3H,R=7.4Omega,andC=27muF`
Angular resonant frequency `omega_(0)=(1)/(sqrt(LC))`
`omega_(0)=(1)/(sqrt(3xx27xx10^(-6)))`
`omega_(0)=0.1111xx10^(3)rads^(-1)`
Or `omega_(0)=111.1rads^(-1)`
Quality factor of resonant circuit, `Q=(omega_(0)L)/(R)`
`Q=(111.1xx3)/(7.4)`
i.e., `Q=45.01`.