1.

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

Answer»

`(rhod)/(sqrt2)`
`(sqrt2)rhod`
`2rhod`
none of these

SOLUTION :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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