In Figure E.13 is a practical passive continuous-time filter. Let C = 16 ?F and R = 1000 ?.
(a) Find its transfer function H ( f ) in terms of R, C and f as variables.
(b) At what frequency f is its transfer function magnitude a minimum and what are the transfer function magnitude and phase at that frequency?
(c) At what frequency f is its transfer function magnitude a maximum and what are the transfer function magnitude and phase at that frequency?
(d) What are the magnitude and phase of the transfer function at a frequency of 10 Hz?
(e) If you keep R = 1000 ? and choose a new capacitor value C to make the magnitude of the transfer function at 100 Hz less than 30% of the maximum transfer function magnitude, what is the largest numerical value of C you could use?
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