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Question

A conducting circular loop of radius r carries a constant current i. It is placed in a uniform mangetic field B0 such that B0 is perpendicular to the plane of the loop. The magnetic force acting on the loop is

A
ir B0
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B
2π ir B0
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C
zero
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D
π ir B0
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Solution

The correct option is B zero
The magnetic field is perpendicular to the plane of the paper. Let us consider two diametrically opposite elements. By fleming's Left hand rule on element AB the direction of force will be Leftwards and the magnitude will be
dF=IdlBsin90o=IdlB
On element CD, the direction of force will be towards right on the plane of the papper and the magnitude will be dF=IdlB.

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