1. The problem statement, all variables and given/known data I am having a little trouble using mesh analysis. I'm trying to stick rigorously to the passive sign convention, as I'm told that this is sensible. Consider the circuit diagram attached, where I have added the mesh currents in orange. In red are the polarities for the components where it is obvious - of course, using the passive sign convention. How do I assign the polarities for the other components, i.e. the 6V voltage source and the 5 and 1 ohm resistors? For example, the 6V source cannot be assigned a polarity that satisfies the passive sign convention for both mesh 1 and mesh 3. As it turns out, assigning positive to the top and negative to the bottom gives the correct answer (after the mesh analysis), but I'm not sure how you can tell.