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If both the resistance and the inductanc...

If both the resistance and the inductance in an LR AC series circuit are doubled the new impedance will be

A

halved

B

fourfold

C

doubled

D

quadrupted

Text Solution

Verified by Experts

The correct Answer is:
C
For L-R circuit, `Z = sqrt(R^(2)+L^(2))`
Hence, `Z_(1) = sqrt(R^(2)+X_(L)^(2))`
Here, `Z_(1) = sqrt((R_(1)^(2)) + (X_(L_(2)))^(2))`
and `Z_(2) = sqrt((R_(2))^(2) + (X_(L2))^(2))`
Given, `R_(2)` = 2R and `X_(L2)= 2X_(L)`
`Z_(2) = sqrt((2r)^(2)+(2X_(L))^(2) = 2Z_(1)`
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