A thin, non-conducting spherical shell of radius carries a total charge that is…
PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences
Problem
A thin, non-conducting spherical shell of radius R carries a total charge Q that is distributed uniformly over its surface.
(i) Prove that the electric field at any point located inside the shell (r<R) is zero.
(ii) Derive an expression for the magnitude of the electric field at a point P situated at a distance r from the centre when r>R.
(iii) Draw a qualitative graph to show the variation of the magnitude of the electric field with the radial distance r for 0≤r≤2R, marking all important values on the axes.