This is not any easy problem and it his gotten into my nerves: A nonconducting s

Question

This is not any easy problem and it his gotten into my nerves:

A nonconducting sphere ofradius 10 cm is charged uniformly with a density of 100 nC/m3. What is the magnitude ofthe potential difference between the center and a point that is 12 cm away?

I lost 5000 points asking this on chegg and getting wrong asnwers. My physics teacher gave me a hint: "You have to do the integration of the electric field taking into consideration the right formula for the electric field: inside and outside the sphere. I hope this would help!"

Explanation / Answer

Inside the sphere, the electric field is still spherically symmetric, so E = E(r) and points radially outward. Applying Gauss' theorem to a sphere with radius r V(r) = -1/2 Q/(4???R

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