Consider two parallel wires A and B of equal lengths, carrying in-phase AC’s. Assume that, the frequency is so low relative to the distance R between them, that the phase delay is ignorable and that there is an even distribution of current on every segment of the wires.
I’m trying to calculate, what would be the total impedance (Znet) on one of the wires when their changing magnetic fields are negatively affecting each other (mutual inductance). I tried to break the net current (at time t) into two parts as you can see below:
One part of the net current is the current which would occure normally caused by the input voltage.
Other part is the current in opposite direction, caused by solely the mutual inductance.
And I summed up the two to find total current. I don’t know if this is a right thing to do. Summing up opposite currents maybe allright with superposition theorem but physically it doesn’t “feel” right or make sense. That’s why I hesitate.
If the idea is right, then I will to try to adapt it to "two parallel antennas situation" to calculate their effective impedances and match the input impedance to that value.