Hi everybody, Below is a circuit that I am investigating. All the components are linear, nothing fancy here. My goal is to maximize the average power P dissipated in the resistor Re. To this aim, I am only allowed to play with the angular frequency ω of the voltage source and with the value of the resistor Re. All the other parameters are set to fixed values. First approach: from Kirschoff's law, I derive an expression for the average power P dissipated in Re. I have then to solve simultaneously dP/dRe=0 and dP/dω=0 in terms of Re and ω. The second equation does however correspond to a high order polynomial in ω (7th I think I remember) for which analytical solutions are not known. Second approach: I transform the initial circuit into the Thevenin equivalent shown below. I then apply the maximum power transfer theorem stating that maximum power will be dissipated in Ze when Ze=Zm*. If some conditions on the parameters other than Re and ω are fulfilled, I obtain two couples of solution in Re and ω respecting Ze=Zm*. And here comes my problem: while these couple of solutions respect dP/dRe=0 from the first approach, they are not solutions of dP/dω=0. While one may suggest an error in the derivations, I checked it many times with symbolic computations software. I rather believe that the maximum power transfer theorem does not yield in the particular situation that I consider, but I do not manage in finding the reason, neither from a mathematical or physical point of view. Any help would be appreciated.