8.18 Free-Space Green Function in Polar Coordinates The free-space Green function in two dimensions (potential of...

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8.18 Free-Space Green Function in Polar Coordinates The free-space Green function in two dimensions (potential of a line charge) is G (r, r') = – In |r – r'|/27€0. Use the method of direct integration to reduce (2) Problems 269 the two-dimensional equation 6,V²G(r, r') = -8(r – r') to a one-dimensional equation and establish the alternative representation т 1 G(r, r') =- In ps + 2π ο cos m(o – o'). т рт 2πε0 т31 8.18 Free-Space Green Function in Polar Coordinates The free-space Green function in two dimensions (potential of a line charge) is G (r, r') = – In |r – r'|/27€0. Use the method of direct integration to reduce (2) Problems 269 the two-dimensional equation 6,V²G(r, r') = -8(r – r') to a one-dimensional equation and establish the alternative representation т 1 G(r, r') =- In ps + 2π ο cos m(o – o'). т рт 2πε0 т31

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