Question

If a charged hollow sphere and a solid sphere of aluminum and copper of equal radii are in electrostatic equilibrium, then which of the following statements is true?

विकल्प

• Both the spheres are having equal charges.

• The hollow sphere will have more charge than the solid sphere at its surface.

• The aluminum sphere will have more charge on its surface than the copper sphere.

• If the hollow sphere is also made up of aluminum, then it will have more charge.

Answer 1

Both the spheres are having equal charges.

Explanation:

Both spheres have equal charges because in electrostatic equilibrium they must be at the same potential, and since the capacitance of a sphere (4πε₀r) depends only on radius, equal radii mean equal capacitances. Hence, equal potentials imply equal charges.