1. The problem statement, all variables and given/known data Find I1, I2, I3, I6 (intensities at R1, R2, R3 and R6) using Kirchoff's Tension Law. R1 = 1/3 Ohm, R2 = 1/4, R3 = 1/3, R4 = 1/2, R5 = 1, R6 = 1/4 E3 = 32V, E1 = 2V, E2 = 4V. http://dl.dropbox.com/u/9301772/Capture.PNG [Broken] 3. The attempt at a solution The schematic has been vastly simplified, and I haven doubts about my simplifications. Anyway, I keep getting the following system, which yields me very weird negative answers. If you notice, I1 = I2+I6 (see schematic) Left loop: 2 = R1 I2 + R1 I6 + R2 I2 + 4 Right loop: 4 = (R3+R4) I3 + R5(I3+I6) Upper loop: 32 = -(R3+R4) I3 - R2 I2 + R6 I6 Which yields negative and very high values for I2 and I3. Any help would be GREATLY appreciated, Wassim H.