Question

Two copper spheres of same radii , one hollow and other solid are charged to same potential. Which , if any , of the two will have more charge?

Answer 1

Answer:

Two copper spheres having the same radii but one is solid and another is hollow with same potential having same number of charges.

Explanation:

Answer 2

Answer:

Same charge

Explanation:

The capacitance of a charged sphere whose radius is r is given by:

C = 4ε0πr

Since the capacitance of a spherical body, ie copper depends only on the radius and is independent of mass, both the hollow sphere and the solid sphere of copper having same radii will have the same capacitance.

If both the spheres have the same potential, they both also have the same charge. Since, charge resides on the surface of the given items, and the spheres are constituted of metal, hence the potential is constant within them.

Therefore, both the copper spheres will have the same charge.