9.22 i In a sourceless medium in which J = 0 and p, = 0, assume a rectangular coordinate system in which E and H are functions only of z and t. The medium has permittivity e and permeability µ. (a) If E = E,a, and H = H,a,, begin with Maxwell's equations and determine the second-order partial differential equation that E, must satisfy. (b) Show that E, = Eo cos(@t – Bz) is a solution of that equation for a particular value of ß. (c) Find ß as a function of given parameters.

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9.22 I In a sourceless medium in which J = 0 and p, = 0, assume a rectangular
coordinate system in which E and H are functions only of z and t. The
medium has permittivity e and permeability µ. (a) If E = E,a, and H =
H,a, begin with Maxwell's equations and determine the second-order
partial differential equation that E, must satisfy. (b) Show that E, = Eo
cos(@t – Bz) is a solution of that equation for a particular value of ß.
(c) Find ß as a function of given parameters.
Transcribed Image Text:9.22 I In a sourceless medium in which J = 0 and p, = 0, assume a rectangular coordinate system in which E and H are functions only of z and t. The medium has permittivity e and permeability µ. (a) If E = E,a, and H = H,a, begin with Maxwell's equations and determine the second-order partial differential equation that E, must satisfy. (b) Show that E, = Eo cos(@t – Bz) is a solution of that equation for a particular value of ß. (c) Find ß as a function of given parameters.
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