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  4. A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are F1, F2, and F3 respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is

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Q. A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_1, F_2, $ and $ F_3$ respectively and are in the plane of the paper and along the directions shown, the force on the segment QP isPhysics Question Image

AIPMTAIPMT 2008

Solution:

$F_4 \sin \theta =F_2$
$F_4 \cos \theta =(F_3-F_1)$
$\therefore F_4=\sqrt{(F_3-F_1)^2+F_2^2}$
For a closed loop there is no translation.

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