Question

The electrostatic potential on the surface of a charged conducting sphere is 100V. Two statements are made in this regard S₁ at any point inside the sphere, electric intensity is zero. S₂ at any point inside the sphere, the electrostatic potential is 100 V. Which of the following is a correct statement?

विकल्प

• S₁ is true but S₂ is false.

• Both S₁ and S₂ are false.

• S₁ is true, S₂ is also true and S₁ is the cause of S₂.

• S₁ is true, S₂ is also true but the statements are independent.

Answer 1

S₁ is true, S₂ is also true and S₁ is the cause of S₂.

Explanation:

 We know, the electric field intensity E and electric potential V are related E = dV/dr

If electric field intensity E = 0, then dV/dr = 0. It means E = 0 inside the charged conducting sphere causes uniform potential inside the sphere. Hence uniform electrostatic potential 100 V will be at any point inside the sphere.

Important points:

• The electric field zero does not necessary imply that electric potential is zero. E.g., the electric field intensity at any point inside the charged spherical shell is zero but there may exist non-zero electric potential.
•  If two charged particles of the same magnitude but opposite signs are placed, the electric potential at the midpoint will be zero but the electric field is not equal to zero.