Consider a solid cube made up of insulating material having a uniform volume charge density. Assuming the electrostatic potential to be zero at infinity, the ratio of the potential at a corner of the cube to that at the center will be
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- Charge density of the cube
Potential at the corner of a cube of side l
Potential at the centre of a cube of side l
Potential at the center of a cube of side
- Potential at the corner of a cube of side
By dimensional analysis


But by superposition
Because of the center of the larger cube lies at a corner of the eight smaller cubes of which it is made Therefore, 
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