6.1 A transverse electromagnetic ( TEM) field structure is one in which the electric and magnetic field vectors at each point in space have no components in the direction of propagation. Verify that a coaxial cable (Fig. 6-1) supports the TEM mode.

Figure 6-1

6.2 Apply Maxwell's equations in integral form to the TEM mode, using a contour C _xy and a surface S _xy in an xy plane of Fig. 6-1. Show that these Maxwell's equations reduce to those for static fields.

6.3 What conclusions may be drawn from Problem 6.2?

6.4 Relate the voltage V( z, t) between the two conductors of the cable of Fig. 6-1 and the current I( z, t) along the cable to the E- and H-fields, and show that the voltage and the current are uniquely defined.

6.5 A portion of a two-conductor, uniform transmission line is shown in Fig. 6-2( a), which also shows the H- and E-fields. Characterize this section of the line via a lumped inductance and a lumped capacitance.

Figure 6-2

6.6 Obtain a pair of equations giving the voltage-current relationship for the...