I'm trying to find the dipole moment of a non-uniform surface charge distribution on a sphere of radius a:(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Homework Help: Dipole moment of non-uniform surface charged sphere

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