Quote:
Originally Posted by Fortis
Yawyaw, what happened to the source term, i.e. charge and current densities?
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The fields are related by E= cB = zH = zcD = D/epsilon.
The charge density Del.Dv= dDr/dR=dDr/cdt = rho charge density = d(e/4pi R^2)/dR= -2Dr/R= -e/2pi R^3.
The charge density is the real derivative of the real field or the time derivative of the real field divided by the speed of light, c.
The real change of the real surface density (Dr) is the charge density. At the boundary or continuity condition, the real change of the surface density is the divergence of the vector field. The vector boundary condition gives the current densities:
0 = dDv/dR + DelxDv + Del Dr = dDv/dt + DelxcDv + Del cDr= dDv/dt + DelxHv + Del Hr= dDv/dt + DEl xHv + Jr (current density)