For the following transfer function (T_{mathrm{V}}(s)=V_{2}(s) )(/ V_{1}(s)) [ T_{mathrm{V}}(s)=frac{20(s+10)(s+100)}{(s+1)(s+1000)} ] (a) What are the poles and

Question:

For the following transfer function \(T_{\mathrm{V}}(s)=V_{2}(s\) )\(/ V_{1}(s)\)

\[
T_{\mathrm{V}}(s)=\frac{20(s+10)(s+100)}{(s+1)(s+1000)}
\]

(a) What are the poles and zeros of the function? Is this a low-pass, high-pass, bandpass, or bandstop function? Estimate the cutoff frequency(ies) and passband gain.

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

(c) What is the output \(v_{2}(t)\) if \(v_{1}(t)=24 \cos \left(100 t-45^{\circ}ight)\) \(\mathrm{V}\) ?

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