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 9, Problem 9.26P
Write Maxwell’s equations in point form in terms of E and H as they apply to a source less medium, where J and pv are both zero. Replace e with p, p, with e, E with H, and H with -E, and show that the equations are unchanged. This is a more general expression of the duality principle in circuit theory.
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Specify Maxwell’s equations in free space.
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Suppose E fields and H fields are:? = ?0??(?.?−⍵?)? = ?0??(?.?−⍵?)?ℎ??? k = kxax + kyay + kzaz and r = xax+yay+zazShow that ? × ? = − ??/?? can be expressed as K × E = ??? and deduce ak × aE= aHFor the same fields:Show that Maxwell’s equation in a source-free region can be written ask.E = 0k.h=0k × E = ???k × H = − ???From these equations deduce ak × aE = aH and ak × aH = −a
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The charge per unit length on the thin rod shown below is ?. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field
dE
at P due to a small segment dx of the rod, which contains charge
dq = ? dx.
Then find the net field by integrating
dE
over the length of the rod. Use the following as necessary: L, a, ?, and ?0. Enter the magnitude. Assume that ? is positive.)
E
Chapter 9 Solutions
Engineering Electromagnetics
Ch. 9 - Prob. 9.1PCh. 9 - Prob. 9.2PCh. 9 - Prob. 9.3PCh. 9 - A rectangular loop of wire containing a...Ch. 9 - The location of the sliding bar in Figure 9.5 is...Ch. 9 - Prob. 9.6PCh. 9 - The rails in Figure 9.6 each have a resistance of...Ch. 9 - A perfectly conducting filament is formed into a...Ch. 9 - A square filamentary loop of wire is 25 cm on a...Ch. 9 - (a) Show that the ratio of the amplitudes of the...
Ch. 9 - Let the internal dimensions of a coaxial capacitor...Ch. 9 - Prob. 9.12PCh. 9 - En free space it is known that E = E0/r sin...Ch. 9 - A voltage source V0, sin cot is connected between...Ch. 9 - Use each of Maxwells equations in point form to...Ch. 9 - Derive the continuity equation from Maxwells...Ch. 9 - The electric field intensity in the region...Ch. 9 - Prob. 9.18PCh. 9 - In Section 9.1. Faradays law was used to show that...Ch. 9 - Prob. 9.20PCh. 9 - (a) Show that under static field conditions; Eq....Ch. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - A vector potential is given as A = A0 cos(đ�œ”t =...Ch. 9 - Prob. 9.25PCh. 9 - Write Maxwells equations in point form in terms of...
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