(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the dipole moment, [tex]\mathbf{p}[/tex], of a sphere of radius R with a uniform volume charge, total Q, with respect to its center.

2. Relevant equations

[tex]\mathbf{p}=\int \mathbf{r} \rho(\mathbf{r}) d\tau[/tex]

3. The attempt at a solution

I know that [tex]\mathbf{p}=\mathbf{0}[/tex], but I have a hard time finding a rigorous argument to prove it. Looking at the definition of [tex]\mathbf{p}[/tex] given above, all I can see is that [tex]\rho(\mathbf{r})[/tex] is in fact constant for r<R, but this doesn't seem to get me anywhere. Other than "it's not a dipole", I'm stuck. Can anyone point me in the right direction?

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# Homework Help: Dipole moment of sphere with uniform volume charge Q

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