- #1
meteorologist1
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- 0
I'm trying to find the dipole moment of a non-uniform surface charge distribution on a sphere of radius a:
The surface charge distribution is:
[tex] \sigma = \sigma_{0} cos \theta [/tex]
where theta is the polar angle.
Here is what I did:
[tex] \vec{p} = \int\vec{r}\sigma dA [/tex]
[tex] = \int r \sigma_{0} cos \theta (2\pi r dr d\theta) [/tex]
and I'm thinking r should be integrated from 0 to a and theta integrated from -pi/2 to pi/2, but I'm not sure. Please help; thanks.
The surface charge distribution is:
[tex] \sigma = \sigma_{0} cos \theta [/tex]
where theta is the polar angle.
Here is what I did:
[tex] \vec{p} = \int\vec{r}\sigma dA [/tex]
[tex] = \int r \sigma_{0} cos \theta (2\pi r dr d\theta) [/tex]
and I'm thinking r should be integrated from 0 to a and theta integrated from -pi/2 to pi/2, but I'm not sure. Please help; thanks.