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Q.

A wire has linear resistance  ρ  (in  Ωm−1). Find the resistance R between points A and B if the side of the big square is d. 

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a

2ρd

b

none of these

c

2  ρd

d

ρd2

answer is A.

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Detailed Solution

The circuit is equivalent to

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Let each half side has resistance  ρrd/2.

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On solving, we get

R=12[2r+(2r)(r/2)(2+2)r]=r2=ρd/2

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