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Vin R4 R2 s+z D(s) = K- s+p ts + 1 Ка ats + 1 = a) derive the transfer function between the input and the output in terms of R1,C1,R2,C2, R3, R4 b) For this part, assume |z|<|pl, i.e that D(s) is a lead-type compensator. The transfer function is written in the following format s+z ts + 1 D(s) = K Ka s+p ats + 1 Express quantities K, z, p using R1,C1,R2,C2, R3, R4. Also, express Ka, a,t using K,z,p. c) Observe the values of s = jw on the imaginary axis, and derive the expressions for magnitude and phase of D(jw), i.e. find expressions for |D(jw)|and 4D(jw) using the parameters Ka, a,t Ts+1 (i. e. D(s) = Ka; %3D ats+1

Vin R4 R2 s+z D(s) = K- s+p ts + 1 Ка ats + 1 = a) derive the transfer function between the input and the output in terms of R1,C1,R2,C2, R3, R4 b) For this part, assume |z|<|pl, i.e that D(s) is a lead-type compensator. The transfer function is written in the following format s+z ts + 1 D(s) = K Ka s+p ats + 1 Express quantities K, z, p using R1,C1,R2,C2, R3, R4. Also, express Ka, a,t using K,z,p. c) Observe the values of s = jw on the imaginary axis, and derive the expressions for magnitude and phase of D(jw), i.e. find expressions for |D(jw)|and 4D(jw) using the parameters Ka, a,t Ts+1 (i. e. D(s) = Ka; %3D ats+1

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 1 Given the circuit below: C1 R3 Vout C2 R1 Vin R4 R2 s+z Ts + 1 D(s) = K = Ka ATs + 1 s+p a) derive the transfer function between the input and the output in terms of R1,C1,R2,C2, R3, R4 b) For this part, assume |z|<|pl, i..e that D(s) is a lead-type compensator. The transfer function is written in the following format s +z = Ka s+p TS +1 D(s) = K- ats + 1 Express quantities K, z, p using R1,C1,R2,C2, R3, R4. Also, express Ka, a,t using K,z,p. c) Observe the values of s = jw on the imaginary axis, and derive the expressions for magnitude and phase of D(jw), i.e. find expressions for |D(jw)|and 4D(jw) using the parameters Ka, a,t Ts+1 , (i. e. D(s) = Ka ats+1' d) For this part, assume |z|>lp], i..e that D(s) is a lag-type compensator. The transfer function is written in the following format Ts + 1 s+z D(s) = = a s+p ats + 1 Express a, t using z,p.
Transcribed Image Text:Problem 1 Given the circuit below: C1 R3 Vout C2 R1 Vin R4 R2 s+z Ts + 1 D(s) = K = Ka ATs + 1 s+p a) derive the transfer function between the input and the output in terms of R1,C1,R2,C2, R3, R4 b) For this part, assume |z|<|pl, i..e that D(s) is a lead-type compensator. The transfer function is written in the following format s +z = Ka s+p TS +1 D(s) = K- ats + 1 Express quantities K, z, p using R1,C1,R2,C2, R3, R4. Also, express Ka, a,t using K,z,p. c) Observe the values of s = jw on the imaginary axis, and derive the expressions for magnitude and phase of D(jw), i.e. find expressions for |D(jw)|and 4D(jw) using the parameters Ka, a,t Ts+1 , (i. e. D(s) = Ka ats+1' d) For this part, assume |z|>lp], i..e that D(s) is a lag-type compensator. The transfer function is written in the following format Ts + 1 s+z D(s) = = a s+p ats + 1 Express a, t using z,p.
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