Two wedge-shaped dielectrics meet along the ray = 0. The opposite edge of each wedge is

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Two wedge-shaped dielectrics meet along the ray φ = 0. The opposite edge of each wedge is held at a fixed potential by a metal plate. The system is invariant to translations perpendicular to the diagram.

(a) Explain why the potential ϕ(ρ,φ) between the plates does not depend on the polar coordinate ρ. 

(b) Find the potential everywhere between the plates.

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