Consider the causal LTI system represented by the RLC circuit examined in Problem 3.20....

Consider the causal LTI system represented by the RLC circuit examined in Problem 3.20.

(a) Determine H(s) and specify its region of convergence. Your answer should be consistent with the fact that the system is causal and stable.

(b) Using the pole-zero plot of H(s) and geometric evaluation of the magnitude of the Fourier transform, determine whether the magnitude of the corresponding. Fourier transform has an approximately lowpass, highpass, or bandpass characteristic.

(c) If the value of R is now changed to , determine H(s) and specify region of convergence.

(d) Using the pole-zero plot of H(s) obtained in part (c) and geometric evaluation of the magnitude of the Fourier transform, determine whether the magnitude t the corresponding Fourier transform has an approximately lowpass, highpass or bandpass characteristic.