The electric potential at the center of uniformly charged conducting sphere is:

Correct answer: D. Equal to that at the surface

  • A. Zero
  • B. Less than that at the surface
  • C. Greater than that at the surface
  • D. Equal to that at the surface

Explanation

According to Gauss's law, the electric field inside a uniformly charged conducting sphere is zero. Therefore, the electric potential at any point inside the sphere, including the centre, is equal to the electric potential at the surface. This is because in a conductor, charges redistribute themselves on the surface to achieve electrostatic equilibrium. As a result, the excess charge resides on the outer surface of the conductor, causing equipotential surfaces to form. Since the electric potential is the same at all points on an equipotential surface, the electric potential at the center of the conducting sphere is equal to that at the surface.

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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.

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