I don't really understand how electromagnetic waves in wires are created. Sure you can see from the Maxwell equations that the fields satisfy the wave equation. But if you plug some cables onto a battery isn't the situation more or less static. I mean the electric field from the battery has existed since t=-∞ so I don't see why it should take time for the electric field to reach the other end of the cables. Also it seems that there in general two ways to reach the equations for transmission in a cable. the telegraph equations. One goes by simply solving maxwell equations and applying the boundary conditions that a linear media gives. Another seems to be to view a cable as a sum of small capacitors and conductors. Either way you find precisely the same speed for the signal. Why is that? Surely Maxwells equations don't incorporate anything about the capacitance or inductance of the linear media.