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The resistance of a wire of uniform diam...

The resistance of a wire of uniform diameter d and length L is R . The resistance of another wire of the same material but diameter `2d` and length 4L will be

A

2R

B

R

C

`R//2`

D

`R//4`

Text Solution

Verified by Experts

The correct Answer is:
B
`R = (rho l)/A rArr R_(1)/R_(2) =l_(1)/l_(2) xx A_(2)/A_(1) = L/(4L) xx (2d)^(2)/d^(2)`
`rArr R_(1) = R_(2)`
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