Consider a uniformly charged sphere of radius R and total charge Q. The electric field E_outoutside the sphere (r ‰¥ R) is simply that of a point charge Q. In Chapter 24, we used Gauss€™s law to find that the electric field E_ininside the sphere (r ‰¤ R) is radially outward with field strength

a. The electric potential V_out outside the sphere is that of a point charge Q. Find an expression for the electric potential Vin at position r inside the sphere. As a reference, let V_in = V_out at the surface of the sphere.
b. What is the ratio V_center /V_surface?
c. Graph V versus r for 0 ‰¤ r ‰¤ 3R.

Transcribed Image Text:

Ein 4περ R