1. The problem statement, all variables and given/known data You have a circuit supplied with AC voltage, it has 2 parallel branches, 1 with R and L, the other with R and C. a) If (frequency) w^2 = 1/LC, prove that the power in each branch is equal. b) If R^2 = L/C, show that the power is the circuit is independent of frequency. 2. Relevant equations 3. The attempt at a solution I am pretty sure I got a) wL=1/wC, so XL=XC, then I know currents are equal in each branch, and it's a parallel circuit so voltage is equal, therefore power is equal. But, I don't even know where to begin for b). I can see that R^2 = w/w * L * 1/C (and that is independent of w) but I really think there is more to it than that, some type of proof that R^2 = XL/XC?? Please help!