Let V be a charge free volume of space Use an interior spherical multipole expansion to show that the average value of the electrostatic potential (r) over the surface of any spherical sub volume inside V is equal to the potential at the center of the sub volume

Question: Let V be a charge-free volume of space. Use an interior spherical multipole expansion to show that the average value of the electrostatic potential (r)

Let V be a charge-free volume of space. Use an interior spherical multipole expansion to show that the average value of the electrostatic potential φ(r) over the surface of any spherical sub-volume inside V is equal to the potential at the center of the sub-volume.

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