1. The problem statement, all variables and given/known data 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 2. Relevant equations Kirchhoff's circuit laws 3. 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?