# Induced surface charge of conducting sphere, and energy?

Find the induced surface charge on a conducting grounded sphere as a function of the polar angle. The hint given is to integrate this charge density over the sphere to find the total induced charge.

I'm not sure exactly how to approach this. I found the potential of any point in the region outside of the sphere. I also know that the equation is:

$\sigma(\theta,\phi) = -\epsilon \frac{dI}{dr}$

at this point, i'm not sure on how to take the partial. I know that once I substitute in appropriate relations, I can just integrate from 0 to 2Pi and 0 to Pi in Polar, but what do I do after this step? Afterwards, I would need to calculate the energy of the configuration. Is that done through Force?

Any help or hints would be GREATLY appreciated. Thank You.

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 Are there any other charges around besides on the grounded sphere? If so, what are they? – joshphysics Feb 25 at 22:11