Rectifier numbers in code

You will write four functions that a power-supply designer uses for a rectifier and its smoothing capacitor.

The idea. For an ideal half-wave rectifier the mean output is $V_m/\pi$. For a full-wave rectifier it is $2V_m/\pi$. A capacitor of $C$ farad gives a ripple $\Delta V = \dfrac{I}{f_r C}$, and a ripple factor $\dfrac{\Delta V}{2\sqrt{3}\, V_{dc}}$.

Your tasks.

1. In dc_half_wave, return the mean output in V for a peak value v_peak.
2. In dc_full_wave, return the mean output in V for a peak value v_peak.
3. In ripple_voltage, return the peak-to-peak ripple in V, for a load current in A, a ripple frequency in Hz and a capacitance in F.
4. In ripple_factor, return the ripple factor for a mean output v_dc and a peak-to-peak ripple ripple.