1. The problem statement, all variables and given/known data In the circuit shown in the figure, R1 = 6 Ω, R2 = 13 Ω, and R3 = 19 Ω, Vemf,1 = 10 V, and Vemf,2 = 15 V. Using Kirchhoff's Loop and Junction Rules, determine the currents i1, i2, and i3 flowing through R1, R2 and R3, respectively, in the direction indicated in the figure. 2. Relevant equations i1 + 12 = 13 V=IR 3. The attempt at a solution i1 + 12 = i3 V1 + I3R3 + I1R1 = 0 V2 + I2R2 + I3R3 = 0 I1 = (-V1 - I3R3)/R1 I2 = (-V2 - I3R3)/R2 I3 = (-V1 - I1R1)/R3 Does this look right?