1. The problem statement, all variables and given/known data I have a closed circuit, with 7 bulbs, all of unequal resistances. I know three currents, 300, 200 and 500. I have 4 unknown currents, those fllowing through A, b, C and D which I need to find. There is a graphic for this which I don't know how to insert, but the link to go to it is: http://www.lightandmatter.com/bk4c.pdf [Broken] GO to the link, scroll to page 123, and the diagram is problem 17. 2. Relevant equations Loop rule where sum voltages in a closed loop = 0 Junction rule where the sum of currents flowing into and out of a point=0. 3. The attempt at a solution I started by labelling the known currrents, from the left, G E and F, giving me a name for each one. I know I need to use the junction rule to calculate the currents and I have this: Rg+Re+Rf = Ra+Rb+Rc+Rd 1000= Ra+Rb+Rc+Rd I need to come up with 4 equations for each unknown, so I have: Ra=1000-Rb-Rc-Rd Rb=1000-Rc-Rd-Ra Rc=1000-Rd-Ra-Rb Rd=1000-Ra-Rb-Rc then i need to use substitution to solve each one, but the maths is getting lost on me. Can anyone help? Am i in the right direction? I really appreciate any assistance you can give me to work this out.