Physics olympiad - electrostatics

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Homework Help Overview

The discussion revolves around a problem involving three concentric spherical shells with different radii and charges, where the innermost and outermost shells are earthed. Participants are exploring the relationships between the charges and the potentials of the shells.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to write the net potentials of the shells as zero and question how to express the potential of a particular shell in relation to others. There are references to using Gauss' law and integrating to find potentials from electric fields.

Discussion Status

There is an ongoing exploration of the relationships between the charges and potentials, with some participants suggesting methods to calculate the potentials and others questioning the assumptions made. Guidance has been offered on integrating electric fields to find potentials, but no consensus has been reached on the final relationships.

Contextual Notes

Participants are working under the constraints of the problem setup, including the requirement that the potentials of the earthed shells must equal zero. There is also a discussion about the implications of charge distributions and the need for careful integration to derive the correct relationships.

  • #31
alexmahone said:
V_2-V_1=\frac{q_1}{4\pi\epsilon}(1/r-1/2r)
V_3-V_2=\frac{q_1+q_2}{4\pi\epsilon}(1/2r-1/3r)

So I add these equations?

Sorry, yes! You need V_3-V_1, and then set the result equal to zero.
 
Last edited:
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  • #32
V_3-V_1=\frac{q_1}{4\pi\epsilon r}+\frac{q_2}{4\pi\epsilon 6r}=0?
 
  • #33
alexmahone said:
V_3-V_1=\frac{q_1}{4\pi\epsilon r}+\frac{q_2}{4\pi\epsilon 6r}=0?

Not quite...you made a small mistake in the addition
 
Last edited:

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