The frequency response of the circuit is then expressed as a voltage divider involving Zeq and R:
1) Rewrite the equation above in the form:
2)Derive expressions for K, w_n (the corner frequency of an additional zero in the numerator due to the resistance R_s), w_0, and Q in terms of R, L, R_s, and C. What effect does R_s have on the DC gain of the circuit?
3)For R=1k-ohm, L=100mH, R_s= 100-ohm, and C = 0.1uF... Find f_0 = w_0/2pi, Q, K, and f_n = w_n/2pi... Then sketch the bode magnitude plots.
4)Repeat part 3 using R = 10k-ohm and Find f_0 = w_0/2pi, Q, K, and f_n = w_n/2pi.