The step response of a linear circuit is gt 2 2e20t 2e500t ut (a)

The step response of a linear circuit is gðtÞ ¼ 2  2e20t þ 2e500t uðtÞ

(a) Is the circuit a low-pass, high-pass, bandpass, or bandstop filter?

(b) Construct the straight-line Bode gain plot and estimate the cutoff frequency and passband gain.

(c) Use MATLAB to plot the Bode magnitude and step responses.

(d) Design a circuit to achieve the transfer function.

(e) Use OrCAD to verify the step and frequency responses.