A wire has linear resistance rho ("in" O...

A wire has linear resistance `rho` `("in" Omega m^(-1))`. Find the resistance R between points A and B if the side of the big square is d.

A

`(rhod)/(sqrt2)`

B

`(sqrt2)rhod`

C

`2rhod`

D

none of these

Verified by Experts

The correct Answer is:

A

a. The circuit is equivalent to
Let each half side has resistance `rhord//2`

On solving, we get
`R = 1/2 [ 2r + ((2r)(rsqrt(2)))/((2+sqrt(2))r)] = 1sqrt(2)`
`=rhod//(sqrt2)` .

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