a) Show that the given electrostatic potential in cylindrical coordinates, r/a sin (4) +37²/a sin (2) r ≤R, y = [0, a],

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A Show That The Given Electrostatic Potential In Cylindrical Coordinates R A Sin 4 37 A Sin 2 R R Y 0 A 1 (182.08 KiB) Viewed 13 times

A Show That The Given Electrostatic Potential In Cylindrical Coordinates R A Sin 4 37 A Sin 2 R R Y 0 A 2 (182.08 KiB) Viewed 13 times

please solve those questions a to c step by step and if you are handwriting then please write the letters clearly. Thank you so much.
a) Show that the given electrostatic potential in cylindrical coordinates, r/a sin (4) +37²/a sin (2) r ≤R, y = [0, a], o(r, y) = otherwise. solves the Poisson equation Ap(r, y) = 0 inside of the segment and specify the boundary conditions of this boundary value problem. b) Compute the electric field E(F) inside of the segment. c) Calculate the surface charge density o(F) on the boundaries of the circle segment as well as the dipole moment D() of the dipolar layer.
a) Show that the given electrostatic potential in cylindrical coordinates, r/a sin (4) +37²/a sin (2) r ≤R, y = [0, a], o(r, y) = otherwise. solves the Poisson equation Ap(r, y) = 0 inside of the segment and specify the boundary conditions of this boundary value problem. b) Compute the electric field E(F) inside of the segment. c) Calculate the surface charge density o(F) on the boundaries of the circle segment as well as the dipole moment D() of the dipolar layer.