A charge distribution is contained entirely inside a black box Measurements of the electrostatic potential outside the box reveal that all of the exterior multipole moments for 1, 2, are zero in a coordinate system with its origin at the center of the box This does not imply that the charge distribution is spherically symmetric Prove this by constructing a counter example

Question: A charge distribution is contained entirely inside a black box. Measurements of the electrostatic potential outside the box reveal that all of the exterior multipole

A charge distribution is contained entirely inside a black box. Measurements of the electrostatic potential outside the box reveal that all of the exterior multipole moments for ℓ = 1, 2, . . . are zero in a coordinate system with its origin at the center of the box. This does not imply that the charge distribution is spherically symmetric. Prove this by constructing a counter-example.

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Place a point charge at the center of the box This gives an 0 multipole and no others Now take a po... View full answer

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