Eight point charge of charge `q` each are placed on the eight cormers of a cube of side a. A solid neutral metallic sphee of radius ` a//3` is placed with its centre at the centre of the cube . As a result charge ar induced on the sphere , which form certain parttern on its surace . What is the potenitial of the sphere .

Answer

` (16)/(sqrt 3) (kq)/a`

Explanation

Net induced charge on sphere is zero so it ootential at cenrter will be zero.
`V_0`= potential due to charge placed at eight comer .
`V_0 = 0 = 8 ( Kq)/( sqrt 3 a//2) rArr V_0 = (16 K1)/(sqrt 3 a)` .