Question About Continuity of an E field of a sphere

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SUMMARY

The discussion focuses on calculating the electric potential for a uniformly charged sphere with density ρ0 and radius R, specifically addressing the behavior of the electric field inside (rR) the sphere. The conclusion is that there is no discontinuity in the electric field at the surface of the sphere, as evidenced by the equality of the electric field values just inside and outside the surface (E_in| r=R = E_out| r=R), indicating a surface charge density of zero. This aligns with the principles of electrostatics for uniformly charged spheres.

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  • Learn about electric field continuity and discontinuity in charged objects
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Students in physics, particularly those studying electromagnetism, as well as educators and anyone seeking to deepen their understanding of electric fields and potentials in 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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