Step Response of an RLC Bandpass Circuit The step response of a series \(R L C\) bandpass circuit is

\[
g(t)=\left[\frac{4}{5} e^{-100 t} \sin (500 t)ight] u(t)
\]

(a) Find the passband center frequency, the two cutoff frequencies, and the \(Q\) of the function.

(b) Design a circuit that would possess the above step response.

(c) Validate your design using Multisim.