Lect_27_note

Lect_27_note - Chapter 34 Electromagnetic Waves Maxwells...

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Chapter 34 Electromagnetic Waves
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Maxwell’s Equations 0 o BE oo o q dd ε μ I μ ε dt ⋅= ΦΦ ⋅= + ∫∫ EA BA Es Bs rr ±±
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Maxwell’s Equations in Free Space 0 o BE oo o q dd ε μ I μ ε dt dt ⋅= ΦΦ ⋅= + ∫∫ EA BA Es Bs r rr r ±± 0 In free space where there is no current or electric charge present,
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Maxwell’s Equations, in vector form
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Maxwell’s Equations, in differential form 22 oo EE BB μ ε and μ ε xt ∂∂ == z The solution: waves! z Electromagnetic waves
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Solution of Maxwell’s Equations 22 oo EE BB μ ε and μ ε xt ∂∂ == ∂∂ ∂∂ z The speed of the electromagnetic wave is 1 vc μ ε
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Speed of Electromagnetic Waves 1 oo vc μ ε == z Substituting the values for μ o and ε o gives c = 2.99792 x 10 8 m/s the speed of light !!!
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Speed of Electromagnetic Waves z In his 1864 paper ‘A Dynamical Theory of the Electromagnetic Field’, Maxwell wrote, The agreement of the results seems to show that light and magnetism are affections of the same substance, and that light is an electromagnetic disturbance propagated through the field according to electromagnetic laws .
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Lect_27_note - Chapter 34 Electromagnetic Waves Maxwells...

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