(Solved): ( 20 pts ) Use the potentiometer shown in Fig. 3 to answer the following. The input x_(in ) is the d ...
( 20 pts ) Use the potentiometer shown in Fig. 3 to answer the following. The input
x_(in )is the displacement of the potentiometer wiper,
R_(x)is the resistance between the potentiometer output leads,
V_(out )is the output voltage,
R_(p)is the maximum resistance of the potentiometer, and
Lis the maximum amount of wiper travel.
R_(p) : Potendinate Figure 3: Schematic for Problem 5. 2. Derive an expression for input-output relationship
((V_(out ))/(x_(in ))). b. Is the system a zero-order system? Why or why not? b. What is the gain or sensitive of the system? d. What is the bandwidth of the system? . Does the system have amplitude linearity? f. Does the system have phase linearity? 5. Suppose the wiper position was attached to a linear actuator that could move the wiper up and down. If
x_(in )=Asin(\omega t+\phi )find an expression for the
V_(out ).
