In a sourceless medium in which J = 0 and = 0, assume a rectangular

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In a sourceless medium in which J = 0 and ρν = 0, assume a rectangular coordinate system in which E and H are functions only of z and t. The medium has permittivity ∈ and permeability μ.

(a) If E = Exax and H = Hyay, begin with Maxwell’s equations and determine the second-order partial differential equation that Ex must satisfy.

(b) Show that Ex = E0 cos(ωt − βz) is a solution of that equation for a particular value of β.

(c) Find β as a function of given parameters.

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Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

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