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 | barB | | barc | sin alpha `
B. `| bar B || barv| sin alpha `
C. `2 r | bar B | |bar V | sin alpha `
D. `2r | bar b| | barV | cos alpha`

Answer

C

Explanation

Given
Radius of metal ball = r
velocity =V
angle between direction of velocity and magnetic field (B) = `alpha `
We know that
` e =BI V sin alpha`
Here `, I = 2r `
` e = 2r |B||v| sin alpha `