Transcription of 32-1 Chapter 32
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32-1 Chapter 32
32-1 Chapter 32 maxwell 'sEquationsIn electricity theory we have two vector fields E and B,and two equations are needed to define each the total number of equations required mustbe many of the required equations have we discussedso far? We have Gauss law for the divergent part ofE, and Faraday s law for the solenoidal part. Itappears that we already have a complete theory of theelectric field, and we do. Gauss law and Faraday slaw are two of the four equations magnetism, we have Ampere s law that defines thesolenoidal part of B. But we have not written anequation involving the surface integral of B. We aremissing a Gauss law type equation for the magneticfield. It would appear that the missing Gauss law forB, plus Ampere s law make up the remaining is not quite correct. The missing Gauss law is oneof the needed equations for B, and it is easily writtendown because there are no known sources for a diver-gent B field.
32-1 Chapter 32 Maxwell's Equations In electricity theory we have two vector fields E and B, and two equations are needed to define each field. Therefore the total number of equations required must
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