Consider a metal ball of radius r moving at a constant velocity v in a uniform magnetic field of induction of velocity forms an angle `alpha ` with the direction of ` bar B ` , the maximum potential difference between points on the ball is

Options

A. `r| bar B|| bar v| sin alpha`
B. `| bar B|| bar v| sin alpha`
C. ` 2r| bar B|| bar v| sin alpha`
D. ` 2r| bar B|| bar v| cos alpha`

Answer

C

Explanation

Answer(3) e = `Blvsintheta
theta = alpha, l =2r .
e = |vecB || vecV|2rsin alpha .
therefore e = 2r |vecB || vecV| sin alpha`