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 14, Problem 14.4P

Write the Hertzian dipole electric field whose components are given in Eqs. (15) and (16) in the near zone in free space where kr << 1. In this case, only a single term in each of the two equations survives, and the phases, δ r and δ θ simplify to a single value. Construct the resulting electric field vector and compare your result to the static dipole result (Eq. (35) in Chapter 4). What relation must exist between the static dipole charge Q and the current amplitude I0 so that the two results are identical?

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d) Based on Figure Q5 (d), answer the following questions: i. Briefly discuss the process that occurs from point 1 to 2 by illustrating the dipole arrangement. ii. Suggest one (1) application in electronic devices that is based on this loop and state your reason. B+ Remanent Flux Density H- H+ Coersive Force Fig. Q5 (d): Hysteresis loop which B is the Magnetic Flux Density and H is the Magnetizing Force.
1. Drive the exact E field produced by an infinitesimal dipole located at the origin with a z-directed current of strength I and length 4z. (hint: 2 = cosef - sine )
c) Write a relationship that relates the electric and magnetic fields in the far field region of an antenna. d) What is meant by the polarization of an antenna? e) What is the phase velocity of a coaxial cable that has a dielectric of & =10 separating the inner and out conductors.
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