# Homework Help: Solving Circuits with R, I, V.

1. Jul 22, 2012

1. The problem statement, all variables and given/known data

Linked below is a rough picture of the circuit for which I need to find the currents.

2. Relevant equations

Kichhoff's Laws, Ohm's Law.

3. The attempt at a solution

I'm doing a self-study using a book that I think may be riddled with errata, so I keep finding that I'm getting a result which disagrees with the answer the back and cannot see why my answer differs. I get the system of equations

$11 - 3i_{3} + 1 = 0$

$11 + 6i_{2} = 0$

$-3i_{3} + 1 -6i_{2} = 0$

$i_{3}=i_{1}+i_{2}$

I believe my choice of direction of flow is consistent and cannot affect my solution up to a change of sign. The book produces the result that $i_{2}=13/6$ when I obtain 11/6.

2. Jul 22, 2012

### SammyS

Staff Emeritus

If i2 = 11/6 A, then the voltage drop across the 6Ω resistor is 11 V, which makes perfect sense. So, it looks like you are correct !

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Last edited: Jul 22, 2012
3. Jul 23, 2012

### CWatters

I agree. The voltage across the 6 ohm resistor is fixed at 11V so the current is simply 11/6 amps.

Have they/you labelled the currents correctly?