Potential inside a hollow sphere (spherical shell)

In summary, the conversation discusses the potential inside a hollow sphere with a constant potential on its surface. The person believes that the potential inside the sphere is simply V0, while their professor argues that it depends on the distance from the center and becomes zero at the center. The use of Gauss' law is suggested to clarify the issue.
  • #1
AkemiHummus
1
0
Suppose that we have a hollow sphere (spherical shell) whose surface is held at some constant potential V0. What is the potential inside the sphere?

I had an argument with my physics professor over this. He claims that the potential inside depends on how far you are from the center and becomes zero at the center ("so that it doesn't blow up").

Wouldn't the potential at ANY point inside the sphere just be V0? Would the answer matter depending on whether the surface is a conductor on insulator, even?
 
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  • #2
Hello AH, :welcome:

there must be a misunderstanding between you. Check out gauss' law applications, like for a conducting sphere.
 
  • #3
The potential is constant at V_0. There could be some misunderstanding in what your professor is thinking of.
 
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FAQ: Potential inside a hollow sphere (spherical shell)

What is the formula for calculating the potential inside a hollow sphere?

The formula for calculating the potential inside a hollow sphere is V = kQ/R, where V is the potential, k is the Coulomb's constant, Q is the total charge of the hollow sphere, and R is the distance from the center of the sphere.

Is the potential inside a hollow sphere constant?

No, the potential inside a hollow sphere is not constant. It varies depending on the distance from the center of the sphere.

How does the potential inside a hollow sphere compare to the potential outside the sphere?

The potential inside a hollow sphere is always lower than the potential outside the sphere. This is because the electric field inside a hollow sphere is zero, while the electric field outside the sphere is non-zero.

Can the potential inside a hollow sphere be negative?

Yes, the potential inside a hollow sphere can be negative. This can happen if the charge on the sphere is negative or if the distance from the center of the sphere is less than the radius of the sphere.

What factors affect the potential inside a hollow sphere?

The potential inside a hollow sphere is affected by the total charge of the sphere, the distance from the center of the sphere, and the Coulomb's constant. Additionally, the presence of any other charges or conductors nearby can also affect the potential inside the sphere.

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