Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Question
Chapter 8.1, Problem 8.2P
(a)
To determine
The electric and magnetic fields in the gap as functions of distance from the axis and time.
(b)
To determine
The energy density and Poynting vector in the gap.
To Verify: the continuity equation.
(c)
To determine
The total energy, the total power flowing into the gap as a function of time
To Check: the power input is equal to the rate of increase of energy within the gap.
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Students have asked these similar questions
Problem 9.9 Write down the (real) electric and magnetic fields for a monochro-
matic plane wave of amplitude Eo, frequency w, and phase angle zero that is (a)
traveling in the negative x direction and polarized in the z direction; (b) traveling in
the direction from the origin to the point (1, 1, 1), with polarization parallel to the
xz plane. In each case, sketch the wave, and give the explicit Cartesian components
of k and în.
2.17 A uniform plane wave in free space is normally incident onto a dense
dielectric plate of thickness /4, having refractive index n. Find the required
value of n such that exactly half the incident power is reflected (and half
transmitted). Remember that n > 1.
In the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10).
Half-space z <0 is from a material with relative magnetic permeability µr = 5.
1. Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0).
2.Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-2, -4,0-) of the vector magnetic field H⃗[A / m] in terms of the given magnitudes (in the half-space z <0).
Chapter 8 Solutions
Introduction to Electrodynamics
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