Single Choice

In the space shown a non-uniform magnetic field $$\vec { B } ={B}_{0}(1+x)(\hat {-k } )$$ tesla is present. A closed loop of small resistance, placed in the x-y plane is given velocity $${V}_{0}$$. The force due to magnetic field on the loop is

Azero
Balong $$+x$$ direction
Calong $$-x$$ direction
Correct Answer
Dalong $$+y$$ direction

Solution

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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