Attached is the diagram illustrating a top-down view of the gradient E-field, and other salient points of interest.
I plan on doing some tests with the rectangular loop. One test will be to see if the measured emf between points 0a and 0b is equivalent to that measured between points 0b and 1a. According to the accepted theory, they should be (or not?), but I want to see it myself.
The white circle in the diagram denotes the solenoid perimeter. You see also that the E-field at that area is black (the most intense) and how it diminishes in intensity in both directions away from, and towards the axis.
The red circle is a sample point for calculating the E-field intensity, and for noting the orientation of the E-field wrt the rectangular loop. Towards the right side, it's clear that the diminishing E-field is not inducing much into the loop, as it is almost normal to the loop in that area. It is not until the extreme right of the loop that the E-field is inducing emf, and at that point the E-field is already diminished to 1/2 intensity.
Notice the equation for emf assumes a circular loop.
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"Some scientists claim that hydrogen, because it is so plentiful, is the basic building block of the universe. I dispute that. I say there is more stupidity than hydrogen, and that is the basic building block of the universe." Frank Zappa
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