Problem $4$: We have been asked to construct a power supply to be used in an optics experiment. The power supply will be applied to a to a device to control the polarization of light incident on a sample. The device has two states, $0$ V applied which creates one polarization state and $80$ V applied which creates the alternate polarization state.

Design a DC power source that can supply the $80$ V needed for the experiment. The device will be the load and can be modeled as a $\backslash (10\backslash$mathrm$\{$k$\}\backslash$Omega $\backslash )$ resistor. We have a set of high voltage components available to us$,$ as well as the $80$ V Zener Diodes for use in the Regulator portion of the circuit. The Zener has been characterized as having a VZO of $79\mathrm{.}9$ V and an $\backslash (\backslash$mathrm$\{$r$\}\_\{$z$\}\backslash )$ of $\backslash (5\backslash$Omega $\backslash ).$ We have a suitable transformer that has a ratio of $10/6,$ and we will have to use the line voltage from the wall as your source $(\backslash (120\backslash$mathrm$\{$~V$\},60\backslash$mathrm$\{$~Hz$\}\backslash )).$

Provide a schematic with all relevant component values and calculations.