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Homework Statement
The problem states:
"A point charge q is located at a fixed point P on the internal angle bisector of a 120 degree dihedral angle between two grounded conducting planes. Find the electric potential along the bisector."
Homework Equations
ΔV = 0
with Dirichlet boundary condition: V = 0 at the two planes and also at infinity.
The Attempt at a Solution
My attempt: Apparently, the method of images does not work. The method of images only works when the given angle is 360/(even number).
Alternatively, if we assume a surface charge distribution σ, we can assume by symmetry that σ is symmetrical for the two half planes, so we can use cylindrical coordinates, assuming σ = σ(z,θ,φ) for φ = 0 and 120°, and P = (0, π/2, 60°). We will have to solve an integral equation, but I am a novice in the topic of integral equation. Did anyone solve it analytically or numerically? Thanks.