A conducting sphere of radius 20 cm has a charge Q placed on it producing a field of magnitude E₀ at its surface. More charge is added to the surface until the magnitude of the field at the surface is 2 E₀. If the potential at the surface was V₀ when the field was E₀, what is the potential when the field is 2 E₀?

Question

Quizplus · Accepted Answer

The electric potential at the surface of a conductor is directly proportional to the magnitude of the electric field at the surface. Therefore, when the field is doubled, the potential at the surface is also doubled. Thus, the potential at the surface when the field is 2 E₀ is 2 V₀. Therefore, the answer is choice B, 2 V₀.

A Conducting Sphere of Radius 20 Cm Has a Charge