The step response of a linear circuit is [ g(t)=50 e^{-5000 t} u(t) ] (a) Find the

Question:

The step response of a linear circuit is

\[
g(t)=50 e^{-5000 t} u(t)
\]

(a) Find the impulse response waveform, $h(t)$.

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

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

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

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