Electrical circuit Source transformation Question

[The Electrician]

Yes I see, oh well.
What's the theoretical version of a solution, the word for it, like the opposite of a 'numerical' solution, like if I was able to find a solution that was the equivilant without it being set numbers?
Thanks

It would be called a "symbolic" solution, such as the one in post #22.

 

[William White]

Analytic solution

 

[tim9000]

It would be called a "symbolic" solution, such as the one in post #22.

Analytic solution

Ah yes, Analytic was the word I was looking for, was on the tip of my tongue.

 

[tim9000]

Well, you are the one to know, it's your language .
Even in my language (danish), I hate these "words". The important matter is to know, what I'm doing rather than to know the word.
The opposite of a numerical solution could be an algebraic solution, but "building" equations and solve them numerically are somehow mixed disciplines.

You should start a new thread here.

As for a known voltage/current supplied ( 60Hz, sinusoidal ): Yes. Maybe you could find the impedance = R + sL = 10Ω + j100Ω
But say you lower the frequency to 0Hz, then the impedance in the series connection will be R + sL = 10Ω + j0Ω = 10Ω.
Now say you by 60Hz have found an equivalent in parallel. Then by lowering the frequency to 0Hz, the impedance will be R || j0Ω = 0Ω.
So generally you cannot convert a model in series to a model in parallel when inductors/capacitors are included in the models.

Ah-ha, yeah 'analystic' was the word.

Yeah that's not what I meant by what was in parallel, I took your advice and started it as a new thread:
https://www.physicsforums.com/threads/modeling-an-inductor.825613/