3. (20 pts) A lossy coaxial cable is shown below. The

coax is filled with a lossy dielectric. The fields inside

the coax are given (in cylindrical coordinates) by

V

E(p.=)=P(-1) e¹1

(1-1² [V/m],

H(p,z)==

- ( 1 ) - 0² - [A/m],

Where n=ne is a complex number written in polar form (this is the complex intrinsic

impedance of the dielectric material).

a) Find the complex Poynting vector.

b) Find the complex power that is flowing in the positive z direction at any point on the coax.