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A uniform conducting rectangular loop of sides l, b and mass m carrying current i is hanging horizontally with the help of two vertical strings. There exists a uniform horizontal magnetic field B which is parallel to the longer side of loop.The value of tension which is least is

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a

mg-Bb2

b

mg+Bb2

c

mg-2iBb2

d

mg+2Bb2

answer is C.

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Detailed Solution

Taking moments about point B to be zeroT1.l+iblB=mgl2;  T1=mg-2ibB2
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A uniform conducting rectangular loop of sides l, b and mass m carrying current i is hanging horizontally with the help of two vertical strings. There exists a uniform horizontal magnetic field B which is parallel to the longer side of loop.The value of tension which is least is