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A metallic loop is placed in a uniform magnetic field vec(B) with the plane of the loop perpendicular to vec(B). Under which condition(s) given below an emf will be induced in the loop ?''If the loop is ……..''

Answer»

moved along the direction of `vec(B)`.
squeezed to a smaller area
rotated about its axis
rotated about one of its diameters.

Solution :We know that magnetic flux, `phi = vec(B). vec(A)`
So, emf can only be INDUCED in a loop if there is rate of change of flux across the loop.
Now, magnetic flux with the loop remains unchanged when the loop is rotated about its own axis and moved along the direction of magnetic field `(vec(B))`.
Now, when the loop remains unchanged when the loop is rotated about its own axis and moved along the direction of magnetic field `(vec(B))`.
Now, when the loop is squeezed to a smaller area then DUE to change in area, flux linked with the loop is CHANGED, resulting in an e.m.f. will be induced in the loop.
Again, when the loop is rotated about one of its diameters then an emf will be induced in the loop due to change in flux linked with the loop. More emf will be induced in the loop if the loop is rotated at faster rate.


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