chp38_5 - PHY2061 R. D. Field Finding the Missing Term...

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PHY2061 R. D. Field Department of Physics chp38_5.doc University of Florida Finding the Missing Term ( integral method ) We are looking for a new term in Ampere’s Law of the form, r r Bd l I d dt C E ⋅= + 1 0 µδ Φ , where δ is an unknown constant and IJ d A E d A S E S =⋅ = ∫∫ rr r r Φ , where S is any surface bounded by the curve C 1 . Case I ( use surface S 1 ): If we use the surface S 1 which is bounded by the curve C 1 then r r r r r l I d J E t dA I C E S + = + ⋅ = 1 00 1 0 µ δ Φ , since E = 0 through the surface S 1 . Case II ( use surface S 2 ): If we use the surface S 2 which is bounded by the curve C 1 then r r r r r l I d J E t I C E S + = + = 1 1 0 ε Φ , since J = 0 through the surface S
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