Unformatted text preview: Electromagnetic Waves The main reason Maxwell’s equations are named after him is that he incorporated them into a theory that predicted the existence of electromagnetic waves . Suppose that somewhere out in space an electric field exists that is oriented purely in one direction—the ydirection, for argument’s sake—and that intersects the xaxis. In this case, the integral term making up the first half of Faraday’s law, ᷈ E ѐ ·d l ѐ , can be simplified greatly using a mathematical relation called Stokes’s theorem . The result is an area integral  ∫ d A (dE/dx) that is oriented in the zdirection and which can be approximated, assuming the area we integrate over is very narrow, as  A (dE/dx) . Assuming this area A is constant, it can be extracted from the magnetic flux term on the right side of Faraday’s law and cancelled out, reducing the whole equation to dE/dx = dB/dt ....
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This note was uploaded on 04/05/2012 for the course PHYS 131 taught by Professor Tibbets during the Spring '11 term at Cuyamaca College.
 Spring '11
 Tibbets

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