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1. Give a short answer to the following questions: (a) Define magnetization in terms of magnetic...

1. Give a short answer to the following questions:

(a) Define magnetization in terms of magnetic dipoles in matter. What is its unit?

(b) What is Coulomb gauge? Use it to show the normal component of the vector potential must be continuous at the boundary of two materials.

(c) Use one of Maxwell's equations (which one?) to show that E is perpendicular to the wave vector k in a plane electromagnetic wave (easiest to use complex notation).

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