Question

The dotted line indicate the surface such that they lie equi distance from the charge ‘q’.

1. What is the name of this surface? 

2. Write the properties of the surface. 

3. Give a mathematical proof to any one of the properties.

Answer 1

1. Equipotential surface.

2. properties of the surface:

• Direction of electric field is perpendicular to the equi potential surface,
• No work is done to move a charge from one point to another along the equi potential surface.

3. Work done = Potential difference × charge = 0 × Charge = 0.