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A closed loop PQRS carrying a current is...

A closed loop `PQRS` carrying a current is place in a unifrom 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` is

A

`F_(3) - F_(1) - F_(2)`

B

`sqrt((F_(3) - F_(1))^(2) + F_(2)^(2))`

C

`sqrt((F_(3) - F_(1))^(2) - F_(2)^(2)`

D

`F_(3) - F_(1) + F_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The `FBD` of the loop is as shwon

Therefore, force on `QP` will be equal and opposite to sum of forces on other sides,
Thus, `F_(QP) = sqrt((F_(3) - F_(1))^(2) + F_(2)^(2))`
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Knowledge Check

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