For the circuit below, (a) Let the feedback loop impedance be Z, = R//C and the input impedance be Zin = R. Show that the output can be written as Vout (S) Z Zin (b) Find the transfer function Vout (S)/Vin (S) in terms of R, R, and C. (c) Find the differential equation relating Vout(t) to Vin(t). (d) Find (i) the time-constant, and (ii) the steady-state output voltage Vout when the input is 2.5 V. Let R = 22 kn, R = 6.8 kn, and C= 0.47F. Vin R -Vin (s) R ww out