Potential of Dipole I think I am close to completing it

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    Dipole Potential
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Homework Help Overview

The discussion revolves around calculating the electric potential from two point charges, specifically focusing on monopole and dipole moments, and comparing these with the exact potential values along the x-axis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of potential from point charges and the implications of multipole expansion. Questions arise regarding the discrepancies between calculated and exact potential values.

Discussion Status

Some participants are exploring the differences between the calculated potential from multipole moments and the exact potential, acknowledging that exact matches are not expected due to the nature of multipole expansion.

Contextual Notes

There is an indication that the original poster is struggling with part 'c' of the problem, specifically in comparing the potentials, and that there may be assumptions about the accuracy of the multipole approximation being questioned.

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Homework Statement



We have 2 points charges qa and qb. Qa =2 nC and is at the origin while
Qb =-10nC and is at (x0,z0)=(4,2)m.

a. Find the real potential for an arbitrary x and z.
b. Find the monopole/dipole moments.
c. Find the potential due to these moments and compare with the correct value for points along the x axis.



Homework Equations





The Attempt at a Solution


I have attached what I have done. I think I am close, but I can't get my part 'c' to check out, so I think something is wrong. Thanks.
 

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What doesn't check out? You calculated the potential due to the moments so now you should compare it with the exact value along the x axis.
 
When I was comparing the potential due to these moments with the correct value, I couldn't get them to match. Sorry, I should have explained that better.
 
Of course the two will not match exactly. That's what multipole expansion is about. The question is by how much they will differ from the correct result.
 
Oh alright, I see that now. Thanks.
 

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