In a region of space, the electric potential is spherically symmetric and only depends on the spherical coordinate r as: V(r)=(A/r)e-(r/R)^2 Where A and R are constants. At large distances, the potential goes to zero faster than 1/r, so there must not be any net charge.  a. Find the electric field everywhere. b. Derive the charge density leading to this potenital. c. Verify that the net charge is zero.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.