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The magnetic field existing in a region ...

The magnetic field existing in a region is gicen by `vecB =B_0(1+(x)/(l))vec k.` A square loop of edge l and carrying a current I, is placed with its edges parallel to the x-y axes. Find the magnitude of the net magnetic force experienced by the loop.

A

`B_(0) i L`

B

`2B_(0) i L`

C

`4B_(0) i L`

D

`5B_(0) i L`

Text Solution

Verified by Experts

The correct Answer is:
A


Force on `AB` is equal and opposite to force on `CO`
At `OA: x = 0, B = B_(0), F_(OA) = B_(0)iL`, towards right
At `BC: x = L, B = 2B_(0), F_(BC) = 2B_(0)iL`, towards left
`F_(n et) = F_(BC) - F_(OA) = B_(0)iL`, towards left
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