Apply the Neumann Green function of problem 3.26 to the situation in which the normal electric field is E_r = ?E₀ cos ? at the outer surface (r = b) and is E_r = 0 on the inner surface (r = a).

(a) Show that the electrostatic potential inside the volume V is

Where p = a/b. find the components of the electric field,

(b) Calculate the Cartesian or cylindrical components of the field, E_z and E_p, and make a sketch or computer plot of the lines of electric force for a typical case of p = 0.5.

P(x) = E, 1 - p a? 2r3 r cos 0 (1+