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In a seris LCR circuit, the inductive re...

In a seris LCR circuit, the inductive reactance `(X_(L))` is `10 Omega` and the capacitive reactance `(X_(C))` is `4 Omega`. The resistance (R) in the circuit is `6 Omega.` The power factor of the circuit is :

A

`1/2`

B

`sqrt3/2`

C

`1/(2sqrt2)`

D

`1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D

`tantheta=(X_L-X_C)/R=(10-4)/6=1`
`theta=45^@`
Power factor `= cos theta = cos 45^@ =1/sqrt2`
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