To measure the displacement, assume that the capacitive pickoff in problem 1 is used in an AC bridge constructed of only capacitors. Using 520pF for the bridge capacitors, find the offset bridge voltage for the two extremes of shaft wobble. Assume a sine wave voltage input having an amplitude of 5 Vrms and a frequency of 5 kHz. Rather than using an equation from the book, you are required to derive the offset bridge voltage using circuit analysis principles. Show all your calculations.