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    Does an Electric Field Exponentially Decrease in Free Space?

    Homework Statement Can an electric field drops exponentially? (in free space)Homework Equations Starting from a hypothetical potential, V = F(x,y,z)e^{-y^2} which decays exponentially in the y direction \nabla^2V=0 The Attempt at a Solution \nabla^2V=e^{-y^2}(\frac{\partial^2F}{\partial...
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