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  4. 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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Q. 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 isPhysics Question Image

Moving Charges and Magnetism

Solution:

Taking moments about point $B$ to be zero.
image
$T_{1} \ell+i b \ell B=m g \frac{\ell}{2} ; T_{1}=\frac{m g-2 i b B}{2}$