Problem 2, continued For the rest of the problem, the transfer function scale factor is taken to be positive (no ±). (b) What is v₂ (t) when v₁ (t) = 0.1u(t) V? H(s) = (c) What is v2 (t) when vi(t) = 0.01e-20tu(t) V? V₂(s) V₁(s) s+200 s+ 20

a. Find the driving point impedance seen by the voltage source in Figure P11-1 and the voltage transfer function Ty(s) = V₂(s)/V₁(s). b. Select values of R and C so that the transfer function has a zero at -500 rad/s and a pole at -250 rad/s. V₁(s) R R 1/Cs V₂(s)

L Exercise. You can write the DC motor angular velocity transfer function as s + bs +c (a) Suppose that a DC motor has constants g = 60, b = 2.3, and e = 11. Define the transfer function in MATLAB using the tf function. % write your code here (b) Is the system stable? You can plot the poles in the s-plane using the pzmap function. For example, to plot the poles of a transfer function G, use: pznap(G) % write your code here (c) What are the poles of the transfer function? You can use the pole function to compute the poles of a dynamic system in MATLAB. For example, to identify the poles of a transfer function R, use: pole(R) % write your code here

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