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Q.

A square loop ABCD carrying a current i,is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be

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a

2μ0IiL3π

b

μ0IiL2π

c

2μ0Ii3π

d

μ0Ii2π

answer is C.

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Detailed Solution

Force on arm AB due to current in conductor XY is F1=μ04π2IiL(L/2)=μ0Iiπacting towards X Y in the plane of loop. Force on arm CD due to current in conductor X Y isF2=μ04π2IiL3(L/2)=μ0Ii3πacting away from X Y in the plane of loop.therefore Net force on the loop =F1-F2=μ0Iiπ1-13=23μ0Iiπ
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A square loop ABCD carrying a current i,is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be