Two turn inductor

From www.ivorcatt.com/2632.htm

Print it out. This gives definitions of the symbols, e.g. Zc . Now the various waveforms can be investigated more thoroughly.

Caveat. You need the theory on crosstalk, see http://www.ivorcatt.com/4_1.htm

http://www.ivorcatt.com/4_2.htm

Further explanation. This explanation refers to the diagrams at http://www.gibsonridgesoftware.com/physics/two_turn_inductor/tti_derivation.htm .

[You can think of the step as being delivered by a battery with a 50 ohm resistor in series. However, it is better to think of the step as being delivered down a perfect (= lossless), extremely long 50 ohm coaxial cable.]

This very long coax is described as “Cable” in http://www.gibsonridgesoftware.com/physics/two_turn_inductor/tti_derivation.htm .

When the step reaches the circuit, it would break up into two steps if the circuit were a single turn inductor. This is discussed at http://www.ivorcatt.com/6_5.htm  and further at http://www.ivorcatt.com/4_5.htm

These two steps would be the reflected signal and the forward signal. Their amplitudes are given at Figure 11, see  , repeated at Figure 55, see http://www.ivorcatt.com/4_5.htm

Our case is more complex. In around 1964, while researching into crosstalk in digital systems, I discovered the two modes, the Even Mode and the Odd Mode.

When the step reaches the circuit, either Two-Turn inductor or Single Turn Transformer, it breaks up into three steps, see http://www.gibsonridgesoftware.com/physics/two_turn_inductor/tti_derivation.htm

This is discussed in http://www.ivorcatt.com/4_2.htm in the following way;

It is not possible for a current voltage step to travel forward between A and B and leave P and Q unaffected. Two fundamental TEM modes can exist in such a four wire system. One mode is called the Even coupled-strip Mode (EM), because the voltage between A and B is the same as the voltage between P and Q, and A and P carry the same current in the same direction. The other mode is called the Odd coupled-strip Mode (OM), because the signal travelling forward between P and Q is the opposite of that between A and B, so that A and P carry equal currents in opposite directions. In either case, it is as though pairs of conductors A, P, B, Q are shorted together at the front end ABQP, as shown in http://www.ivorcatt.com/4_1.htm , see Figures 39 and 40.