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5 V₁ Сг R₁ C₁ ت R₁ IT + R₂ R3 R R Li + Ra Where K1 = sum of first initial of each group member's first names / # group members given A=1, B=2, C=3 ......Y=25, Z=26. Note K₁ should be set to the magnitude of the closest normally available commercial off-the-shelf (COTS) resistor value for 5% tolerance resistors. کھ Vo So if the calculated K₁ for example was 10.432, then one would set the R3 value to 10 k, while if it was 10.532 then R3 would be set to value of 11 k as these are normal COTS resistor values for 5% tolerance resistors. Given R₁ = 1 ks, R₂ = 2*K₁ kN, R3 = K1 kN, R₁ = 1 kN, R5 = 2 kN, R6 = 4 kN, R7 = 3 kn C₁ = 1 mF and C₂ = 10 mF

5 V₁ Сг R₁ C₁ ت R₁ IT + R₂ R3 R R Li + Ra Where K1 = sum of first initial of each group member's first names / # group members given A=1, B=2, C=3 ......Y=25, Z=26. Note K₁ should be set to the magnitude of the closest normally available commercial off-the-shelf (COTS) resistor value for 5% tolerance resistors. کھ Vo So if the calculated K₁ for example was 10.432, then one would set the R3 value to 10 k, while if it was 10.532 then R3 would be set to value of 11 k as these are normal COTS resistor values for 5% tolerance resistors. Given R₁ = 1 ks, R₂ = 2*K₁ kN, R3 = K1 kN, R₁ = 1 kN, R5 = 2 kN, R6 = 4 kN, R7 = 3 kn C₁ = 1 mF and C₂ = 10 mF

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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### Circuit Analysis for Transfer Function In this problem, we are asked to find the transfer function \( V_o(s)/V_i(s) \) for the given circuit. #### Circuit Description The circuit consists of multiple operational amplifiers, resistors, and capacitors. Here’s a detailed breakdown: 1. **Op-Amps**: There are three operational amplifiers in the circuit, each contributing to different stages of the filter. 2. **Resistors**: - \( R_1 = 1 \text{ k}\Omega \) - \( R_2 = 2 \times K_1 \text{ k}\Omega \) - \( R_3 = K_1 \text{ k}\Omega \) - \( R_4 = 1 \text{ k}\Omega \) - \( R_5 = 2 \text{ k}\Omega \) - \( R_6 = 4 \text{ k}\Omega \) - \( R_7 = 3 \text{ k}\Omega \) 3. **Capacitors**: - \( C_1 = 1 \text{ mF} \) - \( C_2 = 10 \text{ mF} \) #### Function and Parameters - \( K_1 \) is calculated as the sum of the first initials of each group member’s first names divided by the number of group members. Assigning values A=1, B=2, C=3, ..., Y=25, Z=26. - \( K_1 \) is then rounded to the nearest standard commercial resistor value available with a 5% tolerance. #### Example Calculation If \( K_1 \) results in a value like 10.432, the resistor \( R_3 \) is adjusted to the closest standard value, 10 kΩ in this case. For a value of 10.532, \( R_3 \) would be set to 11 kΩ. This example highlights standard practices in selecting resistor values for practical circuit implementation. This problem requires understanding of op-amp circuits, filter design, and practical component selection.
Transcribed Image Text:### Circuit Analysis for Transfer Function In this problem, we are asked to find the transfer function \( V_o(s)/V_i(s) \) for the given circuit. #### Circuit Description The circuit consists of multiple operational amplifiers, resistors, and capacitors. Here’s a detailed breakdown: 1. **Op-Amps**: There are three operational amplifiers in the circuit, each contributing to different stages of the filter. 2. **Resistors**: - \( R_1 = 1 \text{ k}\Omega \) - \( R_2 = 2 \times K_1 \text{ k}\Omega \) - \( R_3 = K_1 \text{ k}\Omega \) - \( R_4 = 1 \text{ k}\Omega \) - \( R_5 = 2 \text{ k}\Omega \) - \( R_6 = 4 \text{ k}\Omega \) - \( R_7 = 3 \text{ k}\Omega \) 3. **Capacitors**: - \( C_1 = 1 \text{ mF} \) - \( C_2 = 10 \text{ mF} \) #### Function and Parameters - \( K_1 \) is calculated as the sum of the first initials of each group member’s first names divided by the number of group members. Assigning values A=1, B=2, C=3, ..., Y=25, Z=26. - \( K_1 \) is then rounded to the nearest standard commercial resistor value available with a 5% tolerance. #### Example Calculation If \( K_1 \) results in a value like 10.432, the resistor \( R_3 \) is adjusted to the closest standard value, 10 kΩ in this case. For a value of 10.532, \( R_3 \) would be set to 11 kΩ. This example highlights standard practices in selecting resistor values for practical circuit implementation. This problem requires understanding of op-amp circuits, filter design, and practical component selection.
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