Two conducting spherical shells, A and B, are made of the same material, have radii r and 2r, and have initial charges of -Q. When sphere A is brought into a space free of other charges, the electric potential at a distance R 2r from the center of the sphere is -V. Sphere A is removed, and sphere B is brought to the same point. The electric potential due to sphere B at a distance R from its center is

Question

Two conducting spherical shells, A and B, are made of the same material, have radii r and 2r, and have initial charges of -Q. When sphere A is brought into a space free of other charges, the electric potential at a distance R > 2r from the center of the sphere is -V. Sphere A is removed, and sphere B is brought to the same point. The electric potential due to sphere B at a distance R from its center is

Quizplus · Accepted Answer

The electric potential (V) at a distance R from the center of a charged sphere behaves as if all the charge were concentrated at the center. Since both spheres have the same charge and the observation point is at the same distance R in both cases, the electric potential will be the same, -V, regardless of the sphere's size.

Two Conducting Spherical Shells, a and B, Are Made of the Same