Answer to Question #99701 in Electricity and Magnetism for CalebAustin

Question

can you tell me how to solve these questions which are in chapter 16 of the book called Electricity and Magnetism by Munir H. Nayfeh and Morton K. Brussel?
1. Two perfectly conducting plates are located at y=0 and y=a. Consider a TM wave propagating between the plates with Hx=H0cos(kycosβ)cos(kzsinβ-ωt), and Hy=Hz=0 where β, , and k are constants.
(a) Determine an expression for E between the plates.
(b) Determine the relation between β, a, and k.
(c) Show that the time average of the Poynting vector is entirely in the z direction.
(d) Calculate the average power crossing the rectangle bounded by x=0, x=a, y=0, and y=b.
2.Consider the propagation of TM waves between two perfectly parallel conducting plates at y=0 and y=a.
(a) Determine the E and B fields propagating in the y-z plane between the plates.
(b) What is the lowest mode?
(c) Sketch the field patterns of the lowest mode.

Answer 1

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