EMPulse2Post - James Clerk Maxwell formulated the first...

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James Clerk Maxwell formulated the first successful unified field theory in the 1860's. Maxwell’s Theory successfully unified three separate fields within physics: electricity, magnetism, and optics.
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Maxwell’s Equations of E & M 1. Gauss’s Law for E : q 6 E 2. Gauss’s Law for B : No mag. monopoles 3. Faraday’s Law : B ( t ) 6 E 4. Ampere’s Law : i 6 B 4 N . Ampere’s Law (modified form): & E ( t ) 6 B .
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ε oE e n c q Φ = r r Bd l i d dt c oe n c o o E ⋅= + μμ Φ =⋅ = r r Ed l d dt c B Φ r r l i c n c μ Φ B = 0 Maxwell’s Equations of E & M 1. Gauss’s Law for E : 2. Gauss’s Law for B : 3. Faraday’s Law : 4. Ampere’s Law : 4 N . Ampere’s Law (modified form):
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-q x y t = 0 v = 0
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-q x y E 6 t = 0
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C C O - q u Expanding wavefront centered on O carries information that - q started to accelerate at O. u u u 0 < t < t N a = const. F = const
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A C C O - q u t = t N u u u a = 0
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A C C O - q t > t N u Second wavefront centered on A carries information that - q stopped accelerating at A u u u a = 0 v = const.
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A C C O - q u u r = ut r N = u(t-t )
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A C C O - q E 6
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A C C O - q E 6 E 6
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A C C O - q E 6 6 E E 6
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A C C O - q E 6 6 E E 6 E = const.
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This note was uploaded on 04/17/2008 for the course PHYSICS 135-3 taught by Professor Brown during the Spring '08 term at Northwestern.

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EMPulse2Post - James Clerk Maxwell formulated the first...

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