Two objects each have total charge +Q and the same outer radius R

PHYSICS · Single correct · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

Two objects each have total charge +Q and the same outer radius R. Object I is a solid insulating sphere of uniform volume charge density. Object II is a thin conducting spherical shell. Which of the following correctly compares the radial dependence of the electric-field magnitude E for the two objects? (a) For r<Rr<R, the electric field is zero for both objects because a Gaussian surface encloses no net charge; for r>Rr>R, the electric field of the conducting shell exceeds that of the solid sphere at all distances. (b) For r<Rr<R, EE for object I is constant and non-zero while EE for object II is zero; for r>Rr>R, the two graphs coincide. (c) For r<Rr<R, EE for object I increases linearly with rr while EE for object II is zero; for r>Rr>R, the two graphs coincide. (d) For r<Rr<R, EE for object I increases linearly with rr while EE for object II is zero; for r>Rr>R, EE for object II exceeds that of object I because its charge lies on the surface.

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