Continuity Equation Conservation of Charge derived from Maxwells

Continuity Equation Conservation of Charge derived from Maxwell’s Equations for Peter Mc. Clintock September 26, 2015 Bob Eisenberg

In Vacuum Continuity Equation Conservation of Charge

Generalized Current is Conserved Maxwell Equation in vacuum Vacuum Displacement Current Everywhere! Vector Identity Conservation law Generalized ‘Maxwell’ Current

Charge is Conserved in Vacuum Vector Identity Conservation law Generalized ‘Maxwell’ Current ONLY in vacuum Conservation of Charge in Vacuum

In Matter Continuity Equation Conservation of Charge

Generalized Current is Conserved in Matter Vacuum Displacement Current is Everywhere, Maxwell Equations in Matter Vector Identity inside matter and also in a vacuum! Conservation law for current Generalized Current

Generalized Current is Conserved in Matter if Dielectric is Independent of Location If dielectric ‘constant’ is independent of location It appears that the dielectric coefficient can be any function of time, if it is independent of location, but that is hard to believe

Generalized Current is Conserved in Matter if Dielectric Depends on Location If dielectric ‘constant’ depends on location use vector identity Conservation of Charge It appears that the dielectric coefficient can be any function of time, but that is hard to believe. I also suspect that can be simplified