- #1
Dahaka14
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There is a section that contains dealings with Maxwell's equations in my vector calc book, and there are, to my belief, numerous errors. Some of them I am certain on, but the is one I am not so sure on, although it would be a bigger blunder.
The book describes Maxwell's equations as, having E as electric field and H magnetic field:
[tex]\nabla[/tex][tex]\cdot[/tex]E=[tex]\rho[/tex]
[tex]\nabla[/tex][tex]\cdot[/tex]H=0
[tex]\nabla[/tex][tex]\times[/tex]E+[tex]\partial[/tex]B/[tex]\partial[/tex]t=0
[tex]\nabla[/tex][tex]\times[/tex]H-[tex]\partial[/tex]D/[tex]\partial[/tex]t=J
Aside from current density J not being bold due to being a vector, from what I know if one wishes to write maxwell's equations without using constants, they must be written:
[tex]\nabla[/tex][tex]\cdot[/tex]D=[tex]\rho[/tex]
[tex]\nabla[/tex][tex]\cdot[/tex]B=0
[tex]\nabla[/tex][tex]\times[/tex]E+[tex]\partial[/tex]B/[tex]\partial[/tex]t=0
[tex]\nabla[/tex][tex]\times[/tex]H-[tex]\partial[/tex]D/[tex]\partial[/tex]t=J
Second, they defined H as magnetic field, when it is magnetization. Is there something wrong here?
The book describes Maxwell's equations as, having E as electric field and H magnetic field:
[tex]\nabla[/tex][tex]\cdot[/tex]E=[tex]\rho[/tex]
[tex]\nabla[/tex][tex]\cdot[/tex]H=0
[tex]\nabla[/tex][tex]\times[/tex]E+[tex]\partial[/tex]B/[tex]\partial[/tex]t=0
[tex]\nabla[/tex][tex]\times[/tex]H-[tex]\partial[/tex]D/[tex]\partial[/tex]t=J
Aside from current density J not being bold due to being a vector, from what I know if one wishes to write maxwell's equations without using constants, they must be written:
[tex]\nabla[/tex][tex]\cdot[/tex]D=[tex]\rho[/tex]
[tex]\nabla[/tex][tex]\cdot[/tex]B=0
[tex]\nabla[/tex][tex]\times[/tex]E+[tex]\partial[/tex]B/[tex]\partial[/tex]t=0
[tex]\nabla[/tex][tex]\times[/tex]H-[tex]\partial[/tex]D/[tex]\partial[/tex]t=J
Second, they defined H as magnetic field, when it is magnetization. Is there something wrong here?