A righ of radius 2m translates in its plane with a constant velocity `5m//s`. A uniform magnetic field 0.1 T exists in the space in a direction perpendicualr to the plane of the ring. Consider different pairs of diametrically opposite points on the ring.
(i) Between which pair of points is emf maximum? What is the value of this maximum emf?
(ii) Between which pair of points is the emf maximum? What is the value of this minimum emf?

Explanation

Given, radius, r = 2m, velocity, `v=5ms^(-1)`
Constant magnetic field, B = `0.1` T
According to the question,

From figure, we can see that emf is maximum at PQ and minimum at RS as PQ is perpendicular to field and RS along the field.
Using the relation for induced emf for a rod,
`V_(A)-V_(B)=2Bvr`
`e_(max)=2Bvr`
`=2xx0.1xx5xx2=2V`
`V_(C)-V_(D)=0`
`rArr" "e_("min")`