Homogeneous Conductor in Steady state If the system is in steady state, -dtp=0, thus V·J=0 Then by j=oE, one has V·E=0 If the conductor is also homogeneous, o is independent of position one has V·E=0. Thus by v.E=p/∈0, i.e. under steady-state condition the net charge den sity inside a homogeneous conductor carrying a current s zero