- Electromagnetic Waves Dr Hii Supplement Electromagnetic Waves And Maxwell S Equations A Recall Faraday S Law Fe Di 1 (43.39 KiB) Viewed 10 times
- Electromagnetic Waves Dr Hii Supplement Electromagnetic Waves And Maxwell S Equations A Recall Faraday S Law Fe Di 2 (50.63 KiB) Viewed 10 times
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Electromagnetic waves dr . HII. Supplement: Electromagnetic waves and Maxwell's equations A. Recall Faraday's law.fe-di- de from electricity and magnetism. We shall conside how each side of the equation for Faraday's law applies to the imaginary loop. 1--2--3----7, in the figure for part A of section I 1. For the instant shown in the figure, determine whether cach quantity below is positive, negative, or zero. Explain your reasoning in each case, the quantity ſê-di evaluated over the path 1-2 the quantity S8-d evaluated over the path 2-3 the quantity f&-di evaluated over the entire loop. I--2--3----/ (Hint: The answer is of zero!) For an imaginary surface that is bounded by a closed loop, it is customary to use the right- hand rule to determine the direction of the area vector that is normal to that surface. For example the vector that is normal to the flat, imaginary rectangular surface bounded by the loop 1-2-3-4--1 points in the positive y-direction. 2. At the instant shown in the figure, is the magnetic flux through the loop 1--2--3-4-1 positive, negative, or bro? Explain how you can tell from the figure. . A short time later, will the magnetic flux through the loop be larger, smaller, or the sume? Explain how you can tell from the figure. written on the 3. According to your answers in part 2 ubowe, is the quantity (-). right-hand side of the equation for Faraday's law.positive, negative, or sero? Explain. According to your results in part 1 above, is the quantity on the left-hand side of this equation positive, negative, or zero? Do you get the same answer for both sides of the equation for Faraday's law? If not. resolve the consistencies
WAVES Waves 149 1. Representations of electromagnetic waves A. Shown below are mathematical and pictorial representations of an electromagnetic plane wave propagating through empty space. The electric field is parallel to the z-axis, the magnetic field is parallel to the y-axis. (, and 2 are unit vectors along the +x, ty, and +2- directions.) Ē(x, y, z, t) = E, sin(kr + ct) 2 B(x, y, z. 1) = B, sin(kx + cor)ĝo B E 1. In which direction is the wave propagating? Explain how you can tell from the expressions for the electric field and magnetic field.