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4. Given the op-amp circuit with R and C being adjustable 50 www Vx www. 20 R J (a) Determine the H(s) in terms of the adjustable parameters R and C. (b) Determine the type of frequency response. Express the peak gain PG and the cut-off frequency fe in terms of R and C.

4. Given the op-amp circuit with R and C being adjustable 50 www Vx www. 20 R J (a) Determine the H(s) in terms of the adjustable parameters R and C. (b) Determine the type of frequency response. Express the peak gain PG and the cut-off frequency fe in terms of R and C.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4. Given the op-amp circuit with R and C being adjustable 50 vwwww www. 20 R (a) Determine the H(s) in terms of the adjustable parameters R and C. (b) Determine the type of frequency response. Express the peak gain PG and the cut-off frequency fe in terms of R and C.
Transcribed Image Text:4. Given the op-amp circuit with R and C being adjustable 50 vwwww www. 20 R (a) Determine the H(s) in terms of the adjustable parameters R and C. (b) Determine the type of frequency response. Express the peak gain PG and the cut-off frequency fe in terms of R and C.
Problems: 1. A system has a transfer function Vo(s) 50s H(s) = Vi(s) (s+1) (s+10) (a) Determine the steady-state output of the system if the input is vi(t)={5+5sin(t)+5sin(5t)+5sin(10t)+5sin(20t)} u(t) volts. HINT: Determine the steady-state response due to 5u(t), 5sin(t)u(t), 5sin(5t)u(t), and the other input components separately. The resultant output is the sum of the response of the system to each of the input components. Since the required response is steady- state only and the input is expressed in terms of its frequency components, the frequency-response to each component can be determined. (b) What is the type of the frequency response of the system based on the computed steady-state output in (a)? Explain your answer. 2. Given the circuit shown as R1=100 C=0.005F -Ovo R2=900 (a) Determine H(o), H(o), ZH(o). (b) Sketch the magnitude response and phase response of the system. (c) Determine the type of frequency response and the corresponding frequency response specifications. 3. For the following systems, sketch the magnitude response and determine the type of frequency response and the corresponding frequency response specifications. 2(s+500) 2(s+20) (a) H(s) = (b) H(s) = (s+20) (s+500)
Transcribed Image Text:Problems: 1. A system has a transfer function Vo(s) 50s H(s) = Vi(s) (s+1) (s+10) (a) Determine the steady-state output of the system if the input is vi(t)={5+5sin(t)+5sin(5t)+5sin(10t)+5sin(20t)} u(t) volts. HINT: Determine the steady-state response due to 5u(t), 5sin(t)u(t), 5sin(5t)u(t), and the other input components separately. The resultant output is the sum of the response of the system to each of the input components. Since the required response is steady- state only and the input is expressed in terms of its frequency components, the frequency-response to each component can be determined. (b) What is the type of the frequency response of the system based on the computed steady-state output in (a)? Explain your answer. 2. Given the circuit shown as R1=100 C=0.005F -Ovo R2=900 (a) Determine H(o), H(o), ZH(o). (b) Sketch the magnitude response and phase response of the system. (c) Determine the type of frequency response and the corresponding frequency response specifications. 3. For the following systems, sketch the magnitude response and determine the type of frequency response and the corresponding frequency response specifications. 2(s+500) 2(s+20) (a) H(s) = (b) H(s) = (s+20) (s+500)
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