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Question

In the space shown a non-uniform magnetic field B=B0(1+x)(^k) tesla is present. A closed loop of small resistance, placed in the x-y plane is given velocity V0. The force due to magnetic field on the loop is
222612_8115c15188a64ee4a8b2ecb075025dcd.png

A
zero
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B
along +x direction
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C
along x direction
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D
along +y direction
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E
none of these
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Solution

The correct option is D along x direction
Field is constant along the y direction. As the loop moves towards x direction, field changes. This changes the flux and by Lenz's a law current is induced that opposes this motion along x direction.
Therefore force will be along -x direction.

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