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A rectangular, a square, a circular and an elliptical loop, all in the (x–y) plane, are moving out of a uniform magnetic field with a constant velocity, V = v i. The magnetic field is directed along the negative z axis direction. The induced emf, during the passage of these loops, out of the field region, will not remain constant for

1. the circular and the elliptical loops.
2. only the elliptical loop.
3. any of the four loops.
4. the rectangular, circular and elliptical loops.

Correct answer: only the elliptical loop.

Solution

The induced emf depends on the rate of change of magnetic flux, which is proportional to the rate at which the area of the loop exits the magnetic field. For the elliptical loop, the rate of change of flux is not constant due to its varying geometry, unlike the other loops.

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