What follows is an appropriate derivation of maxwells equations 4 variants of maxwells equations further we separate different special cases alternatives of maxwells equations system numbered for convenience of presentation variant 1 maxwells equations in the general case in the ghs system are of the form 3 r o t 0. Preparing maxwells equations for cem simplifying maxwells equations slide 26 0 0 b d hdt e bt d ttet b ttht 1 assume no charges or current sources v 0 0j 0 0 h e hj e e jh 3 substitute constitutive relations into maxwells equations note it is useful to retain uand and not replace. To solve maxwells equations 115 118 we need to invoke specific material properties ie p fe and m fb which are denoted constitutive relations 14 maxwells equations in differential form for most of this course it will be more convenient to express maxwells equations in differential form. These solutions which satisfy maxwells equations for the case in which the charge and current distributions depend upon time have exactly the same form as the solution for the electrostatic potential equation 224 and the solution for the magnetostatic vector potential equation 4113 except that the retarded time must be used in the source terms. Free download pdf version of inconsistency solution of maxwells equations by khmelnik si apple android and kindle formats also available