What are the Unknown EMF and Currents in this Kirchhoff's Circuit?

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SUMMARY

The discussion focuses on solving for unknown electromotive force (emf) and currents in a Kirchhoff's circuit involving a resistor of 3.48 ohms. The user applied Kirchhoff's circuit laws but encountered errors in their calculations, particularly in the equations for the left and outside loops. The final calculation for current I1 was incorrectly stated as 4.90A. The user seeks assistance in identifying mistakes in their approach and emphasizes the importance of the circuit diagram for clarity.

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Homework Statement



http://img207.imageshack.us/img207/1685/p1854altco4.gif

Find the unknown emf and the unknown currents in the circuit below, in which R = 3.48 . Take the positive direction for current flow in each branch to be upwards.
EMF = V
left branch= A
right branch= A


Homework Equations



Kirchhoff's circuit laws

The Attempt at a Solution



I added current lines to the diagram. Note that a coordinate system is imposed and all positive charges point up ( I guess this makes grading easier). I sketched the lines of current as best I could.

Here are my equations:

Left loop:

1.00v-3.48I1-E+(.05*2)

Outside loop:

1.00v-3.48I1-1.00I3+1.20V+4.00I3=0 (edit: caught a mistake here, last term should have been positive)

Apply junction rule to top center junction:
I1+.05=I3

Combine terms:
1.00v-3.48I1-E+.1=0
2.20v-3.48I1+3.00I3=0

Substituting I1+.05 for I3:

2.20v-3.48I1+3.00I1+.15=0

Combining like terms:

2.35-.48I1=0

I1(the left loop)=4.90A which is wrong.

Any ideas where I messed up?
 
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Where is the circuit diagram?
 
coolram80295 said:
Where is the circuit diagram?

Blast from the past! I have since moved past physics and on to medicine so things worked out well enough I suppose.
 

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