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Question

# A non-planar closed loop of arbitrary shape carrying a current I is placed in uniform magnetic field.The force acting on the loop

A
is zero only for one orientation of loop in magnetic field
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B
is zero for two symmetrically located positions of loop in magnetic field
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C
is zero for all orientations
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D
is never zero
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Solution

## The correct option is D is zero for all orientationsMagnetic force on current carrying wire F=i[→L×→B]Net force on a closed loop placed in uniform magnetic field is zero.→A+→B+→C−→D=0OR →D=→A+→B+→CClosing side of the polygon in opposite flow represent the resultant vector.The magnetic force on current carrying is given by d→F=id→l×→BThis force when integrated over the loop, from property of vector sum, it comes as zero.

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