Question is this solvable?

[Rodney]

I am looking at delta configured transformer winding resistances. Where each leag of winding forms the leg of a triangle. taking resistance readings of the delta gives composite resistances from which I need to find individual resistances. I need to solve:2(ab+ac)= a+b+c, 3(ab+bc)=a+b+c, 4(ac+bc)=a+b+c (three equations with three unknowns)

 

[DrPhil]

I am looking at delta configured transformer winding resistances. Where each leag of winding forms the leg of a triangle. taking resistance readings of the delta gives composite resistances from which I need to find individual resistances. I need to solve:2(ab+ac)= a+b+c, 3(ab+bc)=a+b+c, 4(ac+bc)=a+b+c (three equations with three unknowns)

I am trying to figure out where those equations came from. I think the answer to your question, "Is this soluble?" is "Yes," because the three equations look independent.

Checking equations, if the reading across leg a is A, I see a in parallel with (b + c), or

\(\displaystyle \displaystyle A = \dfrac{1}{\dfrac{1}{a} + \dfrac{1}{b + c}} = \dfrac{a(b + c)}{a + b + c}\)

Was that reading (1/2) ohm?

What have you tried to solve the system?