Kirchhoff rules

  • Thread starter ma18
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  • #1
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Homework Statement



Find Kirchoff's laws for this
http://postimg.org/image/d78dvdg5f/

(Actual problem has a bit more but I can do that part.)


Homework Equations



Loop rule
Junction rule


The Attempt at a Solution



I got the following equations

2e - 4i_4 - 2i_2 = 0
e - 3i_3 - i_1 = 0
e - 4i_4 - i_1 = 0
2e - 3i_3 - 2i_2 = 0
3e - i_1 - 2i_2 = 0

I used these in a matrix but when I reduced to rref I got zero's for the currents which doesn't make sense.

Thanks,

P.S This is from a 2nd year Uni course
 
Last edited:

Answers and Replies

  • #2
Simon Bridge
Science Advisor
Homework Helper
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It helps to label your diagram.
You appear to have put ##e=\varepsilon/R##
I don't see where 3e comes from.

You have three loops - but 5 loop equations - this means that you will get zero lines in the matrix (some of rows are linear combinations of the others) and you appear to have no junction-rule equations: these will not have any e's in them. So your system of equations may be incomplete.
 

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