A solid non-conducting sphere of radius R carries a charge Q distributed uniformly throughout its volume. At a radius r (r

Question

A solid non-conducting sphere of radius R carries a charge Q distributed uniformly throughout its volume. At a radius r (r < R) from the center of the sphere the electric field has a value E. If the same charge Q were distributed uniformly throughout a sphere of radius 2R the magnitude of the electric field at a radius r would be equal to

Quizplus · Accepted Answer

The electric field inside a uniformly charged sphere is proportional to the radius r and inversely proportional to the cube of the sphere's radius. Doubling the sphere's radius to 2R while keeping the charge the same reduces the electric field by a factor of 8.

A Solid Non-Conducting Sphere of Radius R Carries a Charge