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Question: A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces ...

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-

A

(F3−F1)2−F22\sqrt { \left( \mathrm { F } _ { 3 } - \mathrm { F } _ { 1 } \right) ^ { 2 } - \mathrm { F } _ { 2 } ^ { 2 } }

B

F3 – F1 + F2

C

F3 – F1 – F2

D
Answer
Explanation

Solution

Q Net force on current carrying closed loop is zero.

\ FPQ = (F3−F1)2+F22\sqrt { \left( \mathrm { F } _ { 3 } - \mathrm { F } _ { 1 } \right) ^ { 2 } + \mathrm { F } _ { 2 } ^ { 2 } }