I am trying to understand the voltage regulator(lm2941t)in this circuit. I do not understand why they chose those values for r2 and r3 and what vsense does in this circuit. Also, why is 22 uf needed on the input, when the data sheet only calls for .47 uf.
Because R1 is the bottom half of a potential divider, the top half been the digital pot, wired as a variable resistor. The value will have been chosen to suit the value of the pot, and the voltage range required from the regulator.