Calculating Potential in a Conducting Sphere and Wire Configuration

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Discussion Overview

The discussion revolves around the problem of calculating the electric potential in a configuration involving a conducting sphere of radius R held at potential V and a conducting wire positioned radially with respect to the sphere. The wire extends from a point R1, which is greater than R, to a point R2, which is greater than R1. The scope includes theoretical considerations and potential challenges in finding a solution.

Discussion Character

  • Homework-related
  • Debate/contested
  • Exploratory

Main Points Raised

  • One participant expresses uncertainty about their solution to the problem and seeks assistance.
  • Another participant suggests that the question resembles a homework problem and recommends moving it to a homework subforum, emphasizing the need to share the attempted solution for critique.
  • A different participant asserts that the question is not typical of standard textbooks and suspects that the wire may introduce a singularity that complicates the solution, indicating a lack of clarity on how to approach it.
  • This participant also expresses interest in any trivial solutions or references to similar problems if they exist.

Areas of Agreement / Disagreement

There is disagreement regarding whether the problem is a homework question, with some participants asserting it is while others maintain it is not. Additionally, there is uncertainty about the nature of the solution due to potential singularities introduced by the wire.

Contextual Notes

The discussion highlights the potential complexity of the problem due to the configuration of the conducting wire and its implications for the electric potential, but does not resolve the mathematical or conceptual challenges presented.

kyryk
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I am trying to solve the following problem:

Consider the configuration of a conducting sphere of radius R held at potential V, and a conducting wire radially positioned with respect to the sphere with one end at R1>R, and the other end at R2>R1. What is the potential everywhere?

I chalked down a quick solution but I don't believe my answer. Any help would be appreciated!
 
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kyryk said:
I am trying to solve the following problem:

Consider the configuration of a conducting sphere of radius R held at potential V, and a conducting wire radially positioned with respect to the sphere with one end at R1>R, and the other end at R2>R1. What is the potential everywhere?

I chalked down a quick solution but I don't believe my answer. Any help would be appreciated!

This certainly seems like a homework-type question (even if it is not actual homework), so I think you should get a mod to move it to the homework subforums and post your attempt at a solution.
 
Not a homework question. As a matter of fact, never seen such type of E&M questions in standard books. I suspect that the wire presents some sort of singularity in the solution that is a bit tricky to handle, at least I can't see a standard solution applying here. However, if I'm wrong and there is a trivial solution, even better if this is indeed a homework question somewhere, I'd like a link or something of the sort.
 
kyryk said:
Not a homework question. As a matter of fact, never seen such type of E&M questions in standard books. I suspect that the wire presents some sort of singularity in the solution that is a bit tricky to handle, at least I can't see a standard solution applying here. However, if I'm wrong and there is a trivial solution, even better if this is indeed a homework question somewhere, I'd like a link or something of the sort.

Still seems like a homework-type question to me. In any case, you said in your first post that you "chalked down a quick solution" but aren't confident in your answer - why not post that solution (or the main points of it) so we can critique it?
 

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