# Full-wave rectified sine wave representation?

Let us suppose I have an input voltage $V=V_0 \sin(\omega t)$ connected to a full-wave rectifier bridge which changes the voltage to $V=V_0|\sin(\omega t)|$. Now, if I want to work out the voltage drops, currents and the impedances in the following circuit, how do I represent the rectified waveform in terms of a superposition of elementary sinusoidal signals? simulate this circuit – Schematic created using CircuitLab

I tried to use wolframalpha to give me a Fourier decomposition of the wave (which I don't know how to compute analytically). But now I do not know how to find the final output voltage across the load resistor. I know the basic methods of finding impedances of capacitors and resistors, but since there is a superposition of many waves here,I am unable to find the answer. The impedance of capacitor is $\frac{1}{i\omega C}$, I don't know the ω here.

• The way to do it with excruciating accuracy would be to use timestep simulation with models for all components. This is pretty much never needed like Andy alludes to. Nov 15, 2013 at 16:13 