8B - 11_Maxwell_11.ppt - Maxwell s Equations J. C. Maxwell...

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Unformatted text preview: Maxwell s Equations J. C. Maxwell put the previously known phenomena of electricity and magnetism into mathematical form, and added a new and crucial idea - DISPLACEMENT CURRENT 2 I Ampere s Law: Capacitor Consider a charging capacitor : Use Amperes Law to calculate the magnetic field just above the top plate 1) Red Amperian Area, I enc = I 2) Green Amperian Area, I = 0 Ampere's law: enc d I ! = " B s r r 3 Displacement Current We dont have current between the capacitor plates but we do have a changing E field. Can we make a current out of that? This is called (for historic reasons) the Displacement Current E = Q/ A -> Q = EA = E dQ/dt = I d = d E /dt 4 Displacement Current: Direction The displacement current flows in the direction of the change in the electric field. If we enclose all of the flux then I d = I I d = d E /dt Maxwell s Equations Four equations that summarize the creation and interactions of electric and magnetic fields - and predicted that light is an electromagnetic phenomenon....
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8B - 11_Maxwell_11.ppt - Maxwell s Equations J. C. Maxwell...

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