Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 5, Problem 5.5P

Consider the following time-varying current density, which is in the form of a propagating wave at frequency f, traveling at velocity v (more about this in Chapter 10):

J ( z , t ) = J 0 cos ( ω t β z ) a z A / m 2

where J0, is a constant amplitude, đ�œ” = 2đ�œ‹f is the radian frequency, and & is a constant to be found. Determine β as a function of đ�œ” and v such, that the given waveform satisfies both Eqs. (3) and (5). Begin with Eq. (5).

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