Although associated with the planar configuration of Fig. 14.8.1 in this section, the…

Although associated with the planar configuration of Fig. 14.8.1 in this section, the transmission line equations, (4) and (5), represent exact field solutions that are, in general, functions of the transverse coordinates as well as z. Thus, the transmission line represents a large family of exact solutions to Maxwell’s equations. This follows from Prob. 14.8.1, where it is shown that the transmission line equations apply even if the regions between conductors are coaxial, as shown in Fig. 14.2.2b, with a material of uniform permittivity, permeability, and conductivity between f62abb1d 9146 482b b093 095b2e3464bf and 302bbe35 3690 4d25 9896 84e2b86b7412. At 302bbe35 3690 4d25 9896 84e2b86b7412, the transmission line conductors are “open circuit.” At af131abb 2655 4d0d 9dc5 c03cc3e9bf43 the applied voltage is Re 9824a2f9 e21a 47f3 8ecd 36cdfeb82635 expbc2e09f0 e764 42f1 97e9 3de9e638cf3a. Determine the electric and magnetic fields in the region between transmission line conductors. Include the dependence of the fields on the transverse coordinates. Note that the axial dependence of these fields is exactly as described in Examples 14.8.1 and 14.8.2.

Fig. 14.8.1

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