Prove that for charge-free two-dimensional space the value of the electrostatic potential at any point is equal to the average of the potential over the surface of any circle centered on that point. Do this by considering the electrostatic potential as the real part of an analytic function.(adsbygoogle = window.adsbygoogle || []).push({});

I have no idea how to start this problem and am not sure what to do with the analytic function information. Any hints on how to start this would be really appreciated.

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# Homework Help: Mean Value Theorem and electrostatic potential

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