Early quasi-steady electro-magnetic fields about conducting surfaces

Step changes in current through either grounded or ungrounded wires lying on the surface of a uniformly conducting half-space produce image current sources within the surface of the conductor. This image current is effectively the only source term for initial changes in partial derivative (t) B(z), E(x) and E(y). The general steady state electric and magnetic field components resulting from steady currents flowing through either grounded or ungrounded wires of finite length lying on the surface of a uniform half- space are derived. Then the operators mapping these steady fields into the early values of partial derivative (t) B(z), E(x) and E(y) on or above the conducting half-plane resulting from instantaneously stopping the current flRow through the wires are derived.