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# How do you get the equations for this Multi-loop Circuit?

## How do you get the equations for this Multi-loop Circuit? - Physics Forum

### How do you get the equations for this Multi-loop Circuit? - Physics Forum. Discuss and ask physics questions, kinematics and other physics problems.

#1
06-22-2009, 07:17 PM
Pipette Filler

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How do you get the equations for this Multi-loop Circuit?

...|--2O--.--2O--|
...|......../ \........|
10V..4O 4O..10V
...|.../ .......... \ ..|
...|./___R5___\.|

(...) are only to space, no circuit is there!

I'm looking for the equations, but only get 5 independent and need 6.
So far,
I1=I3+I5 (junction lower left)
I4=I2+I5 (Lower right)
(i1+i2=i3+i4) <---- junction upper middle, but relation of the two above.
E1-R1*i1-R3*i3=0
-E2+R4*i4+R2*i2=0
-R4*i4-R5*i5+R3*i3=0

Can anyone help me out on this one? the answers are
i1=-15a
i2=25a
i3=-5a
i4=15a
i5=-20a
R5=4O

Thanks!!

 Tags circuit , equations , multiloop , _

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