Electric Potential at Center of Uniform Conducting Sphere?

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Homework Help Overview

The discussion revolves around calculating the electric potential at the center of a hollow metal sphere, given its potential with respect to ground and its charge. Participants express confusion regarding the relevance of the sphere's radius and the implications of the properties of conductors on electric potential.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the electric potential at the surface and the center of the sphere, questioning whether the potential can be directly derived from the surface potential. There is also discussion about the charge enclosed within a hypothetical surface at the center and the implications of having multiple charges in that space.

Discussion Status

Some participants have provided links to resources and posed questions to guide understanding, while others express ongoing confusion about the concepts involved. There is a mention of a participant arriving at an answer, but the reasoning behind it remains unclear, indicating a lack of consensus on the underlying principles.

Contextual Notes

The original poster notes the absence of the sphere's radius as a potential constraint in solving the problem. There is also uncertainty regarding the interpretation of charge distribution within the conductor.

NeedPhysHelp8
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A hollow metal sphere has a potential of +320 V with respect to ground (defined to be at V = 0) and has a charge of 4.4 x 10-9 C. Find the electric potential at the center of the sphere.

How do you do this. They don't give the radius which would help.
 
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Welcome to PF.

Maybe read this link carefully.
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html#c2

What kind of surface would you construct in the center and how much charge would be enclosed?

Since you are dealing with a conductor and all points inside are at the same potential how much charge can be in the middle?
 
Thanks for the link, but I'm still very confused i don't even know where to start at. You said since its a conductor all points inside have the same electric potential so does this mean that i can find the potential at the surface and be right. And would the charge enclosed just be 4.4 X 10-9 C given in the question. I'm not too sure about what surface you're talking about.
 
NeedPhysHelp8 said:
Thanks for the link, but I'm still very confused i don't even know where to start at. You said since its a conductor all points inside have the same electric potential so does this mean that i can find the potential at the surface and be right. And would the charge enclosed just be 4.4 X 10-9 C given in the question. I'm not too sure about what surface you're talking about.

You have a conductor. So what happens if you put 2 charges together at the center? Will they stay there?
 
Oh nice i got the answer, i just tried entering the voltage they gave me and its the right answer don't know why though
 

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