An inductor of inductance L and resistance R is connected of A.C. circuit having angular frequency of `omega` . The value of quality factor Q is ……

Options

A. `((omegaL^2)/R)^2`
B. `(R/(omegaL^2))^2`
C. `(omegaL)/R`
D. `R/(omegaL)`

Answer

C

Explanation

`Q=omega/(Deltaomega)=(omegaL)/R [ because Deltaw=R/L]`
`therefore Q=V_L/V_R` or `V_C/V_R`
`=(I_(rms)X_L)/(I_(rms)R)` or `(I_(rms)X_C)/(I_(rms)R)`
`=X_L/R` or `X_C/R`
`=(omegaL)/R` or `1/(omegaCR)`