Class13

Class13 - Maxwells Equations and = = = = J o o r Maxwells...

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Unformatted text preview: Maxwells Equations and = = = = J o o r Maxwells Equations: in free space Integral form Differential form S d t B l d E C A r r r r = t B E = r r (35b) (35a) t E B o o = r r S d t E l d B C A o o r r r r = (36b) (36a) = A S d E r r = B r (37b) (37a) = A S d B r r = E r (38b) (38a) Wave Equations and Speed of Light Apply x on both sides of Eq. (35b): and space free in = = = = J o o r ( ) (39) t B E = r r = = E r Make use of Eq. (34) and considering for free space, ( ) ( ) E E E E r r r r 2 2 = = Same works for B: Combine the above two equations, we have wave equations: 2 2 2 2 2 2 t B B t E E o o o o = = r r r r (40) Speed of light and index of refraction In a scalar format, there are total six equations, one for each component:...
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Class13 - Maxwells Equations and = = = = J o o r Maxwells...

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