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Question:

A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are :

Zero andQ4πϵ0R2

Both are zero

Q4πϵ0Rand Zero

Q4πϵ0RandQ4πϵ0R2

Solution:

For a conducting sphere
Electric fidld at centre=0
Potential at centre=KQR=Q4πϵ0R