  Kirchhoff's Current Law is an essential tool in the design of circuits that
operate very quickly, faster than nanoseconds. But Kirchhoff's current is often
identified as the flow of particles. The continuity equation or the
Maxwell-Ampere law shows that the sum of displacement current $\textbf{plus}$
particle current is conserved by Maxwell's equations and Kirchhoff's law.
Kirchoff included the displacement current in the current of his law, from
early on. This Kirchhoff current (including the displacement current) does not
vary with spatial location in the ionic channels of biology. Electronic
circuits switching in nanoseconds are analyzed using the Bohm representation of
quantum mechanics including particle and displacement current.
