Question 3 (24 marks) hearing loss simulator in which a passive band-pass filter used to In Workshop

Question 3 (24 marks) hearing loss simulator in which a passive band-pass filter used to In Workshop 5, you designed a was model the effect of both high frequency and low frequency hearing loss. (a) [2 marks] Using a series RLCcircuit with the output voltage taken across the resistor R, choose components values for R, the inductor L, and capacitor C to obtain the transfer function 10010s H(s) s2 10010s+ 100000 (b) [8 marks] Using the semi-log graph paper below, draw the piecewise straight-line approximation of the Bode magnitude plot of the circuit. Be sure to label all points of interest dB 20 0 -10 -20 -30 -40 -50 rad/s 106 -60 -1 10- 100 101 102 103 104 105 10 (c) [8 marks] Using the semi-log graph paper below, draw the piecewise straight-line approximation of the Bode phase plot of the circuit. Be sure to label all points of interest C 180 150 120 90 60 0 -30 -60 -90 -120 -150 -180 10-1 rad/s 106 100 101 102 103 10 105 30 (d) [6 marks] Use the constructed Bode magnitude and phase plots to approximate the steady-state output voltage, vo(t) given the following inputs 100 cos (2000t 15°)V (i) u(t) (ii) v(t) 5 cos(5t+35°)V

 

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