Two conductors are held at a potential difference V and carry a current I. Calculate the power (energy per unit time), using Poynting's theorem, transported down the cables for the following two configurations:
a. A long coaxial cable carries current I (the current flows down the surface of the inner cylinder, radius a, and back along the outer cylinder, radius b as shown in the figure below.
b. A transmission line is constructed from two thin metal ribbons of width w, a very small distance h < w apart. The current travels down one strip and back along the other, and it spreads out uniformly over the surface of the ribbon, as shown in the figure below.