(a) A point charge q > 0 with total energy E travels through a region of constant...

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(a) A point charge q > 0 with total energy E travels through a region of constant potential V1 and enters a region of potential V2 < V1. Show that the trajectory bends so that the angles θ1 and θ2 in the diagram below obey a type of “Snell’s law” with a characteristic “index of refraction” for each medium.

(b) Describe the charge distribution which must exist at the V1-V2 interface.

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