A uniform magnetic field of induction B is confined to a cylindriacal region of radius R. The magnetic field is increasing at a constant rate of `(Db)/(dt)). Am electron of charge e, placed at the point P on the preriphery of the field experiences accceleration.

Options

A. (a) `(1)/(2)(eR)/(m)(dB)/(dt)` toward left
B. (b) `(1)/(2)(eR)/(m)(dB)/(dt)` toward right
C. ( c) `(eR)/(m)(dB)/(dt)` toward left
D. (d) zero

Answer

A

Explanation

(a) Induced electric field at point `P`:
`E = (R )/(2)(dB)/(dt)` towards right
acceleration of electron: `a = (eE)/(m) = (eR)/(2m)(dB)/(dt)` towards left