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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

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