A positive charge q is situated at a distance d from the centre of a solid conducting cube. Determine the electric field at the centre of the cube produced by the charges appearing on its surface.

Step-by-step solution

The net electric field inside a solid conducting cube under electrostatic conditions is zero. The total electric field at the centre of the cube is the vector sum of the electric field due to the external point charge q and the electric field due to the induced charges on the surface of the cube. E _ net = E _ q + E _ induced = 0 E _ induced = - E _ q The electric field at the centre of the cube due to the positive point charge q at a distance d is given by: | E _ q | = q 4 ₀ d^2 Since q is a positive charge, E _ q