Question About Continuity of an E field of a sphere

AI Thread Summary
The discussion revolves around calculating the electric potential of a uniformly charged sphere with density ρ0 and radius R, focusing on two regions: inside (r<R) and outside (r>R). The user expresses confidence in their calculations for the potential in both regions but seeks clarification on whether there is a discontinuity in the electric field at the sphere's surface. It is concluded that there is no discontinuity, as the electric field values inside and outside the sphere at the surface (r=R) are equal, indicating zero surface charge density. The user is encouraged to reference additional resources for further understanding. The thread highlights the importance of continuity in electric fields for uniformly charged spheres.
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Homework Statement


Please calculate the potential for a sphere that is uniformly charged with density ρ0 and also has a radius of R.
a. r<R
b. r>R
c. Is there a discontinuity of Electric Field at the surface? Explain your reasoning.



Homework Equations





The Attempt at a Solution



I have attached my work for the first two parts, which I am pretty sure is correct. However, I need help with the last part. I want to say that it is continuous, because of the nature of uniformly charged spheres. However I don't know if this is right, or how to really explain it. This is due tomorrow, so any help (especially if it's quick) would be GREATLY appreciated. Thank you.

http://i53.tinypic.com/xpszo7.jpg
 
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Ok great. Thanks.
 
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