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A sqaure loop ABCD, carrying a current I...

A sqaure loop `ABCD`, carrying a current `I_(2)` is placed near and coplanar with a long straight conductor `XY`, carrying a current `I_(1)` as shwon in Figure. The net force on the loop will be

A

`(2muIi)/(3pi)`

B

`(mu_(0)Ii)/(2pi)`

C

`(2mu_(0)Iil)/(3pi)`

D

`(2mu_(0)Iil)/(2pi)`

Text Solution

Verified by Experts

The correct Answer is:
A
`oversetrarr(F_(BC)) = -oversetrarrF_(AD)`
`F_(x1) = F_(AB) - F_(AB)`
`F_(x1) = (mu_(0))/(4pi) (2Ii)/(L//2)xx L -(mu_(0))/(4pi) (2Ii)/(3L//2)L`
`F_(x1) = (2mu_(0)Ii)/(3pi)`
.
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