What is the ratio of the electrostatic potential at the corner and the centre point of a charged conducting cube? (The potential is considered 0 at infinity)

Question

What is the ratio of the electrostatic potential at the corner and the centre point of a charged conducting cube? (The potential is considered 0 at infinity) (A) 2:1 (B) 4:1 (C) 1:2 (D) 1:1

Tardigrade Admin · Accepted Answer

We know from the application of Gauss's law that a conductor is always equipotential. Therefore potential at centre and potential at one corner is the same. ∴ The ratio of potential is 1:1 .

Q. What is the ratio of the electrostatic potential at the corner and the centre point of a charged conducting cube? (The potential is considered $0$ at infinity)

$2 : 1$

$4 : 1$

$1 : 2$

$1 : 1$

We know from the application of Gauss's law that a conductor is always equipotential. Therefore potential at centre and potential at one corner is the same.
$∴$ The ratio of potential is $1 : 1$ .

Q. What is the ratio of the electrostatic potential at the corner and the centre point of a charged conducting cube? (The potential is considered 0 at infinity)

2:1

4:1

1:2

1:1