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
- the circular and the elliptical loops
- only the elliptical loop
- any of the four loops
- the rectangular, circular and elliptical loops
Answer
(1) the circular and the elliptical loops
Solution
Motional emf of a loop leaving the field: = B l v, where l is the length of the loop lying along the field boundary (perpendicular to V).
For the rectangular and square loops this length stays constant while they leave the field constant emf.
For the circular and elliptical loops the chord at the boundary changes continuously the rate of change of flux changes.
The emf does not remain constant for the circular and the elliptical loops.
Answer: (1)