The transfer function \(T_{\mathrm{V}}(s)=V_{2}(s) / V_{1}(s)\) for a particular circuit is

\[
T(s)=-\frac{100 s}{s+500}
\]

(a) Identify the critical point of \(T_{\mathrm{V}}(s)\). What is the phase of the function at \(s=0\) and \(s ightarrow \infty\) ? What is the maximum gain of the function?

(b) Use MATLAB to plot the Bode magnitude of the transfer function. Is the gain the same as what you found in (a)?

(c) Design a circuit using practical values for the components that has the same transfer function.

(d) Use Multisim to compare the frequency response of your designed circuit with the MATLAB Bode plot.