Question: The Dirichlet Green function for the unbounded space between the planes at z = 0 and z = L allows discussion of a point charge

The Dirichlet Green function for the unbounded space between the planes at z = 0 and z = L allows discussion of a point charge or a distribution of charge between parallel conducting planes held at zero potential.(a) Using cylindrical coordinates show that one form of the Green function is

G(, ') n)("-) 4 m (6-) sin n=1 m=- o 00 ()-(7)

(b) Show that an alternative form of the Green function is

G(, ') n)("-) 4 m (6-) sin n=1 m=- o 00 ()-(7) sin Pe Km

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