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In an L-C-R circuit , R=sqrt7Omega, XL=1...

In an L-C-R circuit , `R=sqrt7Omega, X_L=11Omega` and `X_C=8Omega` , then the value of impedance =______

A

`4 Omega`

B

`3Omega`

C

`9Omega`

D

`3sqrt7Omega`

Text Solution

Verified by Experts

The correct Answer is:
A
`|Z|=sqrt(R^2+(X_L-X_C)^2)`
`=sqrt((sqrt7)^2+(11-8)^2)`
`=sqrt(7+9)`
`=sqrt16` = 4
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