Hello again,Could you please supply a schematic in which all of your parameters are clearly defined? You seem to be changing the definitions of some (such as I1, which is defined in the original schematic as the current flowing upward through R1) and using others that aren't defined in the original schematic at all (such as Ix). I'm not going to guess whether or not your Ix refers to the same thing as the Ix the TS introduced in their second diagram, since you are already feeling free to change the supplied definitions of things.
The circuit is the same except for one important 'change' that i assumed everyone would assume but now that you mention it it looks like nobody else did, and i'll mention this in a minute.
Isnt Ix in the original? That's the current though the voltage source pointing left to right.
I1 is the input current, originally Iin.
I can redraw the schematic but it's the very same except for the variables, except for one major thing i am seeing now that may have been mistaken in the original question.
That is, the definition of the voltage source. It was:
V=(Ix-Ia)*p
This was changed to:
V=(Ix-I1)*p
or as per original drawing:
V=(Ix-Iin)*p
The reason for this is because the definition:
V=(Ix-Ia)*p
immediately sets the circuit to be an impossible circuit that needs no analysis of any currents or voltages because the current "Ia" is a mesh current and therefore not a real current. That means that current "Ia" can never be measured and therefore the voltage source definition:
V=(Ix-Ia)*p
is impossible and therefore the question is ill posed. That would immediately disqualify this circuit as anything that could be created in real life or even in theory because theory rejects a controlled device based on a fictitious current. It has to be a real current. This might be more apparent in my previous drawing where i tried to draw out the way the assumed currents would (possibly) flow.
Thus i was assuming that Ia=Iin or in my equations Ia=I1. That's about the only way we would have anything to analyze in the first place.
But i am still interested in seeing how you would write out that expression:
V=1*i
and how we could explain this to circuit simulator software engineers. If you have a really good reason for this, it could be very useful and beneficial.