Is There an Error in My Kirchoff's Loop Problem Solution?

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mattwkeller
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Homework Statement


Find the currents going through each resistor.
Circuit schematic with three emfs, E1 = 24.0 V, E2 = 40.0 V, E3 = 10.0 V, and resistors 2.00 kΩ (R1), 3.00 kΩ (R2), and 4.00 kΩ (R3) arranged in branches between nodes a through f.


Homework Equations



V=IR

The Attempt at a Solution


[/B]
Handwritten circuit analysis: a circuit schematic with loops labelled I1, I2, I3, resistors 2000, 3000 and 4000, and 24V and 10V sources; below are loop equations, a matrix equation, and solutions I1 = -8.461, I2 = -.00392, I3 = -.00477.
I have the problem worked out and I can't find any errors in my work. The issue is that my professor has:

I1=-.0843
I2=.086
I3=.0017

However my physics professor is notorious to make errors in class and right sloppily, so I don't entirely trust his solutions. Can you find any error in my work/confirm my results? Sorry about the picture being sideways.
 

Discussion

Sorry, struggling getting the picture up...in the meantime my answers are:

I1=-8.461
I2=-.00392
I3=-.00477
 
Your answers are missing units, making it difficult to say whether they are numerically correct. You'd definitely lose marks though for not showing units.

Assuming your results are in Amps then I2 and I3 look to be correct numerically, but I1 is not... it's got the wrong order of magnitude. So check your calculation there.
 
Yes, sorry about that. They are in amps. I missed the scientific notation in my matrix. Should I1= -8.461e(-4)?
 
mattwkeller said:
Yes, sorry about that. They are in amps. I missed the scientific notation in my matrix. Should I1= -8.461e(-4)?
Yes, that's right.
 

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