I am totally missing the theory which could cause 1 to 2 amps of flow in the ring.
Let me further explain my thoughts, hopefully someone will set me straight.
Diagram 1: A generator. Note that the top of the loop goes one direction through the flux, the bottom of the loop goes in the other direction through the flux, and, because of the opposite polarites created, the voltage in the top of the loop and the voltage in the bottom of the loop will add together creating an overall voltage.
Diagram 2: Now, instead of rotating the loop, we simply move it horizontally through the field. The voltage polarities of the top and bottom are the same, and they cancel out, leaving no overall voltage on the loop. It does not matter whether the loop moves or the flux moves. The flux is cutting both wires in the same direction.
We can use the left hand rule for determining the polarity, but arbitrarily, say the top of the loop has negative to left, positive to right. The bottom of the loop will have the exact same polarity, negative to left, positive to right. And we are connecting the positive to the positive, which makes the two voltages cancel.
Diagram 3: Shows the power line flux cutting the top of the loop and the bottom of the loop, both in the same direction. The exact same scenario is set up as in diagram 2. No voltage produced. Well, the only voltage actually produced is that the top of the loop is closer to the magnetic field and will have a slightly stronger flux density than the bottom of the loop. Only this difference of flux density will produce a voltage in the loop.
Say the top of the loop is 100 milligauss. The bottom of the loop is 95 milligauss. Only 5 milligauss will produce voltage.
Now, if we were to rotate the loop, then maybe we can create some significant voltage.
One more thought - Diagram 4
If both sides of the loop are in close proximity to the power line, no voltage is produced because the voltage in each loop is opposite of the other. Hopefully this will get the point across about my claim that the voltages on each side of the loop would cancel.
Or am I wrong?