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Again, in the space provided below for prelab work, complete the following tasks for the circuit shown in Figure 1. If you require more page area to complete your computations, feel free to add space as needed between the prelab work areas below. 5. Starting with the transfer function obtained for H₁(s) in prelab part 1 above, develop expressions to generate approximate and exact Bode magnitude and phase shift plots for H₁(f). Again, assume nominal values of Rs = 50[22], R₁ = R₂ = 10[ko] C₁ = 0.1[u], and C₂ = 1[u]. (5 points) 6. Use the result obtained in prelab part 5 above to generate Bode magnitude and phase shift plots via Excel or Matlab. (3 points) Prelab Information 1. Laboratory Preliminary Discussion Second-order RC Circuit Analysis The second-order RC circuit shown in figure 1 below represents all voltages and impedances as functions of the complex variable, s. Note, of course, that the impedances associated with Rs, R₁, and R2 are constant independent of frequency, so the 's' notation is omitted. Again, one of the advantages of s-domain analysis is that we can apply all of the circuit analysis techniques learned for AC and DC circuits. To generate the s-domain expression for the output voltage, Vout(s) = Vc2(s), for the circuit shown in figure 1, we can apply voltage division in the s-domain as shown in equation 1 below. Equation 1 will be used in the prelab computations to find an expression for the output voltage, vc2(t), in the time domain. Note also that when we collect frequency response data for the circuit it will be operating at AC steady-state conditions for each frequency tested. Note that under AC steady-state conditions, s=o+jw=jw=j2πf. equation (1) R2||Z C2(s) -V Rs + R1||Zc1(s) + R2||Zc2(s) S(s) Zc1(s) Vci(s) Rs www VRS(S) R1 www V₁(s) V₂($) R₂ Vc2(s) Zc2(s) Vout(s) = V2(s) = Vc2(s) Vs(s) Figure 1: A second-order RC circuit represented in the s-domain.

Again, in the space provided below for prelab work, complete the following tasks for the circuit shown in Figure 1. If you require more page area to complete your computations, feel free to add space as needed between the prelab work areas below. 5. Starting with the transfer function obtained for H₁(s) in prelab part 1 above, develop expressions to generate approximate and exact Bode magnitude and phase shift plots for H₁(f). Again, assume nominal values of Rs = 50[22], R₁ = R₂ = 10[ko] C₁ = 0.1[u], and C₂ = 1[u]. (5 points) 6. Use the result obtained in prelab part 5 above to generate Bode magnitude and phase shift plots via Excel or Matlab. (3 points) Prelab Information 1. Laboratory Preliminary Discussion Second-order RC Circuit Analysis The second-order RC circuit shown in figure 1 below represents all voltages and impedances as functions of the complex variable, s. Note, of course, that the impedances associated with Rs, R₁, and R2 are constant independent of frequency, so the 's' notation is omitted. Again, one of the advantages of s-domain analysis is that we can apply all of the circuit analysis techniques learned for AC and DC circuits. To generate the s-domain expression for the output voltage, Vout(s) = Vc2(s), for the circuit shown in figure 1, we can apply voltage division in the s-domain as shown in equation 1 below. Equation 1 will be used in the prelab computations to find an expression for the output voltage, vc2(t), in the time domain. Note also that when we collect frequency response data for the circuit it will be operating at AC steady-state conditions for each frequency tested. Note that under AC steady-state conditions, s=o+jw=jw=j2πf. equation (1) R2||Z C2(s) -V Rs + R1||Zc1(s) + R2||Zc2(s) S(s) Zc1(s) Vci(s) Rs www VRS(S) R1 www V₁(s) V₂($) R₂ Vc2(s) Zc2(s) Vout(s) = V2(s) = Vc2(s) Vs(s) Figure 1: A second-order RC circuit represented in the s-domain.

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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Again, in the space provided below for prelab work, complete the following tasks for the circuit shown in Figure 1. If you require more page area to complete your computations, feel free to add space as needed between the prelab work areas below. 5. Starting with the transfer function obtained for H₁(s) in prelab part 1 above, develop expressions to generate approximate and exact Bode magnitude and phase shift plots for H₁(f). Again, assume nominal values of Rs = 50[22], R₁ = R₂ = 10[ko] C₁ = 0.1[u], and C₂ = 1[u]. (5 points) 6. Use the result obtained in prelab part 5 above to generate Bode magnitude and phase shift plots via Excel or Matlab. (3 points)
Transcribed Image Text:Again, in the space provided below for prelab work, complete the following tasks for the circuit shown in Figure 1. If you require more page area to complete your computations, feel free to add space as needed between the prelab work areas below. 5. Starting with the transfer function obtained for H₁(s) in prelab part 1 above, develop expressions to generate approximate and exact Bode magnitude and phase shift plots for H₁(f). Again, assume nominal values of Rs = 50[22], R₁ = R₂ = 10[ko] C₁ = 0.1[u], and C₂ = 1[u]. (5 points) 6. Use the result obtained in prelab part 5 above to generate Bode magnitude and phase shift plots via Excel or Matlab. (3 points)
Prelab Information 1. Laboratory Preliminary Discussion Second-order RC Circuit Analysis The second-order RC circuit shown in figure 1 below represents all voltages and impedances as functions of the complex variable, s. Note, of course, that the impedances associated with Rs, R₁, and R2 are constant independent of frequency, so the 's' notation is omitted. Again, one of the advantages of s-domain analysis is that we can apply all of the circuit analysis techniques learned for AC and DC circuits. To generate the s-domain expression for the output voltage, Vout(s) = Vc2(s), for the circuit shown in figure 1, we can apply voltage division in the s-domain as shown in equation 1 below. Equation 1 will be used in the prelab computations to find an expression for the output voltage, vc2(t), in the time domain. Note also that when we collect frequency response data for the circuit it will be operating at AC steady-state conditions for each frequency tested. Note that under AC steady-state conditions, s=o+jw=jw=j2πf. equation (1) R2||Z C2(s) -V Rs + R1||Zc1(s) + R2||Zc2(s) S(s) Zc1(s) Vci(s) Rs www VRS(S) R1 www V₁(s) V₂($) R₂ Vc2(s) Zc2(s) Vout(s) = V2(s) = Vc2(s) Vs(s) Figure 1: A second-order RC circuit represented in the s-domain.
Transcribed Image Text:Prelab Information 1. Laboratory Preliminary Discussion Second-order RC Circuit Analysis The second-order RC circuit shown in figure 1 below represents all voltages and impedances as functions of the complex variable, s. Note, of course, that the impedances associated with Rs, R₁, and R2 are constant independent of frequency, so the 's' notation is omitted. Again, one of the advantages of s-domain analysis is that we can apply all of the circuit analysis techniques learned for AC and DC circuits. To generate the s-domain expression for the output voltage, Vout(s) = Vc2(s), for the circuit shown in figure 1, we can apply voltage division in the s-domain as shown in equation 1 below. Equation 1 will be used in the prelab computations to find an expression for the output voltage, vc2(t), in the time domain. Note also that when we collect frequency response data for the circuit it will be operating at AC steady-state conditions for each frequency tested. Note that under AC steady-state conditions, s=o+jw=jw=j2πf. equation (1) R2||Z C2(s) -V Rs + R1||Zc1(s) + R2||Zc2(s) S(s) Zc1(s) Vci(s) Rs www VRS(S) R1 www V₁(s) V₂($) R₂ Vc2(s) Zc2(s) Vout(s) = V2(s) = Vc2(s) Vs(s) Figure 1: A second-order RC circuit represented in the s-domain.
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