I am hoping someone might be able to take a look at the attached question (Question 2) and let me know if my validation of the values asked for are 'worthy'. Is what I've shown proof or just shown that it is plausible? The question asks to show that:

i1 = 0.714A (714mA)

i2 = 1.29A

E = 12.6V

Is there a way to have come up with the values for i1, i2 and E, by using the given info alone? If the values for i1, i2, and E were not provided in the question, could you still solve for i1, i2, and E ?

(GIVEN: V1 =15V, R1 = 7ohm, R2 = 2ohm, R3 = 5ohm, and i3 = 2A)

I have tried to use KVL and KCL (and a little bit of Ohms law to find a couple of voltage drops to support the KVL equations). So is what I have come up with proving that i1=714mA etc or is it just plausible. There are many possibilities that could add up to 2A kind of thing. Just because

0.714 + 1.29 = 2, well .. 0.5 + 1.5 = 2.. and so does 1.25+0.75 = 2 and so on.

I thought at first looking at it that maybe it was a current divider circuit, but I couldn't get the figures to work. I'm still trying to get my head around what happens/when to use the current divider equation. I think R3 is what makes the circuit in Question 2 not a current divider, or it could also possibly be that there are two power sources... eek. More to learn re current divider circuits - even though every parallel circuit is a current divider circuit so I am looking forward to understanding /utilising the logic better hopefully soon!

Thanks for having a look