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Unformatted text preview: Electromagnetic Waves The main reason Maxwells 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 directionthe ydirection, for arguments sakeand that intersects the xaxis. In this case, the integral term making up the first half of Faradays law, E d l , can be simplified greatly using a mathematical relation called Stokess 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 Faradays law and cancelled out, reducing the whole equation to dE/dx = dB/dt ....
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 Spring '11
 Tibbets

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