1. The problem statement, all variables and given/known data http://img63.imageshack.us/img63/80/circuit1.jpg [Broken] 2. Relevant equations P = (I^2)(R) 3. The attempt at a solution First, I turned the 2A and 4A current sources into voltage sources by V = IR. So (2A)(10Ω) = 20V and (4A)(12Ω) = 50V Then I had the circuit simplified into 4 loops, then applied mesh current analysis and got the following: I1= 3.1374A I2= -0.2125A I3= -5.7941A I4= 0.1874A (I started loop 1 in the bottom left square and went clockwise in numbering.) Now, I'm not sure how to find max power if I don't know the resistance of the load. Please help! If there is an easier/better way to do this please explain!