(a) For the example of oppositely charged conducting hemispherical shells separated by a tiny gap, as shown in Figure 2.8, show that the interior potential (r

Find the first few terms of the expansion in powers of z and show that they agree with (2.27) with the appropriate substitutions.(b) From the result of part a and (2.22), show that the radial electric field on the positive z axis is

For |z|

(c) Make a sketch of the electric field lines, both inside and outside the conducting hemispheres, with directions indicated. Make a plot of the radial electric field along the z axis from z = ???2a to z =+2a.

(a? - z?) aVa? + z Pin(z) = V.