Once clarified what "load line" exactly means...

https://www.researchgate.net/post/What_is_actually_a_load_line_and_can_this_concept_be_presented_in_a_more_attractive_way_to_students

...now it only remains to clarify what a "generator line" means. This term is used much less frequently but for us it is of interest, because obviously it is connected in some way with the term of "load line".

For the purposes of the grapho-analyitical solution, we reduce any electric circuit to an equivalent network of three generalized "elements" - two "resistors" (E1 and E2) and one voltage source V. E1 and E2 can contain whatever elements - linear, nonlinear, passive, active... in the simple case of a voltage divider, they are simply resistors. If the common point between E2 and the negative terminal of V is grounded, E1 will act as an upper "pull-up" element, and E2 - as a lower "pull-down" element.

In this arrangement, the upper element E1 can be combined with the source V to obtain in total two parts - a "generator" and a "load". As they are connected to each other, the voltage across them and the current  through them are the same. So, we can superimpose their IV curves on the same coordinate system - the IV curve of the upper part that is shifted from the origin with V and the IV curve of the lower part that begins from the origin. Depending on the corresponding elements, these characteristics can be lines or any other curves. The intersection (operating) point represents the instant magnitudes of the current and voltage (the equilibrium)... and is the solution...

Now we can change whatever in this arrangement... in the upper, in the lower or in both parts... and will see how the one, other or both IV curves move, rotate or both... When change something in one of the parts, its IV (scanning) curve moves/rotates and the intersection point slides along the other (scanned) curve... thus drawing it...

So the question is, "What is the load line in this arrangement... and what - the generator line?"

Maybe we should first to answer, "What is the load and what - the generator here?"

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