Home Physics Electrostatics Potential & Capacitance NTA Abhiyas Question Consider a solid cube made up of insulating …
Physics Electrostatics Potential & Capacitance NTA Abhiyas Question MCQ (Single Correct)

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

A
1 : 1
B
1 : 2
C
1 : 4
D
1 : 8

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Text Solution

Verified by Experts
The correct answer is:
B

1 : 2

- 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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