Mesh Circuit Analysis: Determine Voltage Across R6

[Fronzbot]

Homework Statement

Determine the Voltage across Resistor R6.

Homework Equations

KVL

The Attempt at a Solution

I called the bottom left Loop I1, the bottom right I2 and the top I3. All currents are flowing clockwise. From there I set up my KVL expressions for each loop:

-12 + 5600(I1-I3) + 5600(I1-I2) + 5600(I1) = 0
5600(I2-I1) + 5600(I2-I3) + 5600(I2) + 5600(I2) = 0
5600(I3-I1) + 5600(I3) + 5600(I3-I2) = 0

From there I simplified those equations into these:

I1(16800) + I2(-5600) + I3(-5600) = 12
I1(-5600) + I2(22400) + I3(-5600) = 0
I1(-5600) + I2(-5600) + I3(16800) = 0

Plugging the Matrices into my calculator I end up with:
I1 = 9.82A
I2 = 3.57A
I3 = 4.46A

I checked the answers and ended up getting 120008 = 12 for the first equation, 0 = 0 for the second and -56 = 0 for the third. Obviously I did something wrong, but hell if I know where. I've done Mesh many, many times before and this particular problem is just a pre-lab thing for a simulation but something is wrong and I just don't know what. If anyone can help me out here I would greatly appreciate it!

-KevinEDIT- NEVERMIND! I decided to solve it out by hand and noticed I got the exact same answers just x10^-4 and plugged them in my calculator again... turns out I couldn't be assed into scrolling to the side to see the E-4 after those numbers. WHOOPS!

 

[Valkarie]

So the answers are:I1 = 0.982AI2 = 0.357AI3 = 0.446AAnd the Voltage across R6 is:V = I2R = 0.357*5600 = 20.02V

 

[Mene]

I would say that your approach to solving the problem using KVL and setting up the equations for each loop is correct. However, it seems that the issue is with the calculation in your calculator. Make sure to pay attention to any exponents or scientific notation that may affect your final answer. It's always a good idea to double check your calculations to avoid any errors. In this case, it seems like you have solved the problem correctly, but the final answer was off due to a calculation error. Great job on using the correct method for solving the problem!