For the following transfer function TV(s) V2(s)/V1(s) TVs 4s 0:04s2 0:2s 1 (a) Construct the straight-line Bode plot of the gain.

For the following transfer function TV(s) ¼

V2(s)/V1(s)

TVðsÞ ¼ 4s 0:04s2 þ 0:2s þ 1

(a) Construct the straight-line Bode plot of the gain. Is this a low-pass, high-pass, bandpass, or bandstop function?

(b) Use the straight-line plot to estimate the maximum gain and the frequency at which it occurs.

(c) Use MATLAB to plot the Bode magnitude and phase of the transfer function.