a. Prove that the external electric field of an ellipsoid from the problem 6.1.20
a is perpendicular to its surface.
b. A conducting ellipsoid is obtained from a sphere by reducing its size in one
direction by a factor of n. The length of the semi-major axis of the ellipsoid
R, its total charge Q. Determine the maximum and minimum strength of the
external electric field near the surface of the ellipsoid.
c. Determine the maximum electric field strength of a long metal charged wire
with an elliptical cross-section. Length of the semimajor axis of the ellipse b,
linear charge density of the wire ρ.