KVPY2016PhysicsElectrostatics
Consider a cube of uniform charge density . The ratio of electrostatic potential at the centre of the cube to that at one of the corners of the cube is
Options
- A2
- B3 / 2
- C2
- D1
Correct answer
A. 2
Step-by-step solution
Let at the corner of cube potential = V ₀ array l Potential Q Side of cube Q = a ³ array So potential a ³ a Potential a ² Big cube consist of 8 cube At centre of big cube of side 2 a , potential is 8 ~V ₀ Potential at corner of big cube = V ₀ (2)²=4 ~V ₀ Required ratio = 8 ~V ₀ 4 ~V ₀ =2: 1