A graph showing variation in impedance Z...

A graph showing variation in impedance Z of a series LCR circuit, with frequency f of alterating emf applied to it is shown below. What is the minimum value of this impedance?

A

R

B

`Z= sqrt(R^(2)+(X_(L)-X_(C ))^(2))`

C

`Z_("min")`

D

`X_(L) = X_(C )`

Verified by Experts

The correct Answer is:

A

The impedance of LCR circuit is given by.
`Z=sqrt(R^(2) +(X_(L)-X_(C ))^(2))`
Value of Z will be minimum if, `X_(L) =X_(C )`
`:.Z_("min")=R`

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