(Solved): 2. A 12 phase balanced midpoint rectifier provides 200A at 200V to the load resistance. The loa ...

2. A 12 phase balanced midpoint rectifier provides $200\mathrm{A}$ at $200\mathrm{V}$ to the load resistance. The load and filter are shown below ( $\mathrm{R}$ in parallel with $\mathrm{C}$, which is in series with the filtering inductor). Each source operates at $60\mathrm{Hz}$ and has peak voltage of $340\mathrm{V}={\mathrm{V}}_0$, for example ${\mathrm{v}}_1(\mathrm{t})$ $=340\cos (2\mathrm{p}60\mathrm{t})$, and the other 11 sources out of phase (balanced) but with the same amplitude. $(\mathrm{m}=12)$ a) What inductance value $\mathrm{L}$ that is needed to keep the peak-to-peak current ripple below $\pm 15\%$ ? b) What is the capacitance value $\mathrm{C}$ that is needed to keep the peak-to-peak ripple below $\pm 5\%$ for this inductance value in part a)?