A cube of side b has a charge q at each of its vertices

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asked Jan 3, 2018 in Physics by sforrest072 (157,439 points) 63 451 1314

A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.

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answered Jan 3, 2018 by mdsamim (213,225 points) 5 10 24
edited Mar 4, 2018 by Vikash Kumar
 
Best answer

Length of the side of a cube = b 

Charge at each of its vertices = q 

A cube of side b is shown in the following figure.

The electric potential (V) at the centre of the cube is due to the presence of eight charges at the vertices.

The electric field at the centre of the cube, due to the eight charges, gets cancelled. This is because the charges are distributed symmetrically with respect to the centre of the cube. Hence, the electric field is zero at the centre.

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