 #1
jimmystevens123
 2
 0
 Homework Statement:
 I'm struggling with interpreting the circuit correctly, and checking my work afterwards yields confusing results.
 Relevant Equations:

Kirchhoff's Current Law
Ohms Law
Given the circuit above, I have to solve for the labelled currents, find V total and R total accordingly. 1A is flowing through the 5Ω resistor as shown. Assuming electron flow (negative terminal to positive) for circuit.
The connector in the middle was somewhat confusing. Without it, this would be much simpler. At any rate, I redrew the circuit (perhaps incorrectly) as follows:
If I have a 1A going through one identical parallel resistor, I must have 1A going through the other.
Adding the equivalent parallel resistor values, I get 4.5 + 2.5 = 7Ω.
2A across 2.5Ω = 5V dropped.
2A across 4.5Ω = 9V dropped.
R total = 7Ω
I total= 2A
V total = 14V
Using Kirchoffs Current Law  (i2 = It * R1 / R1+R2) 2A * 6/6+18 = 0.5A?
i1 = 2A * 18/6+18 = 1.5A?
I feel like the redraw was a mistake, because without that junction, the values don't make any sense in the original circuit.
My question is, how do I interpret this circuit correctly? How do I know if any current is going to flow through the middle connector, and if so, how much? It's not intuitive to me at all. Apologies for the length.