chp38_4 - PHY2061 R. D. Field Finding the Missing Term...

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PHY2061 R. D. Field Department of Physics chp38_4.doc University of Florida Finding the Missing Term ( differential method ) Must make Ampere&s Law consistent with charge conservation. Look for the missing piece as follows: X J B r r r r + = × 0 µ . Solution: t J X B J = × = ρ r r r r r r 0 0 1 1 t X B J = × = r r r r r r r 0 0 1 1 Thus, t X = 0 r r but E r r = 0 ε so that = = t E E t X r r r r r r 0 0 0 0 ) ( and hence t E X = r r 0 0 and t E J B + = × r r r r 0 0 0 Corrected Ampere&s Law (integral form):
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This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

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