NOTE: You would have to clearly mark out the cut-off frequencies and the slopes of the magnitude lines (e.g., ±20 dB/decade), and the phase angle values in your asymptotic Bode plots. For your convenience, it is okay to approximate phase angle and magnitude values in your Bode plots. Let us draw the asymptotic Bode plot of the following transfer function: 10 (s+1) S (s + 10) but we will do so by constructing the Bode plots for each of the first order terms separately, H(s) = H3(s) · H4(s) H5(s) . 10 H3(s) = s+10' Problem 2 where, H(s) 1 HA(S) = S' and H5(s) = s +1 and then putting those plots together (i.e., by stacking them on top of each other). a) Draw the asymptotic Bode plot of H₁(s) = 1 b) Draw the asymptotic Bode plot of H5(s) = s +1 c) Finally, use the above results to draw the asymptotic Bode plot of: H(s) = H3(s) H4(s). H5(s). Note: You should reuse the asymptotic Bode plot of H3(s) = 10 from the previous problem. s+10

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...
icon
Related questions
Question
100%
Will upvote
**Problem 2**

Let us draw the asymptotic Bode plot of the following transfer function:

\[ H(s) = \frac{10(s+1)}{s(s+10)} \]

but we will do so by constructing the Bode plots for each of the first-order terms separately,

\[ H(s) = H_3(s) \cdot H_4(s) \cdot H_5(s) \]

where,

\[ H_3(s) = \frac{10}{s+10}, \]

\[ H_4(s) = \frac{1}{s}, \]

and

\[ H_5(s) = s+1 \]

and then putting those plots together (i.e., by stacking them on top of each other).

a) Draw the asymptotic Bode plot of \( H_4(s) = \frac{1}{s} \)

b) Draw the asymptotic Bode plot of \( H_5(s) = s+1 \)

c) Finally, use the above results to draw the asymptotic Bode plot of:

\[ H(s) = H_3(s) \cdot H_4(s) \cdot H_5(s) \]

**Note:** You should reuse the asymptotic Bode plot of \( H_3(s) = \frac{10}{s+10} \) from the previous problem.

**Explanation:**

- **Magnitude Plot**: For each transfer function, you need to plot the magnitude in dB against frequency on a logarithmic scale.
- **Phase Plot**: Similarly, the phase angle in degrees should be plotted against frequency.

- **\( H_4(s) = \frac{1}{s} \)** corresponds to a slope of -20 dB/decade starting at 0 dB.
- **\( H_5(s) = s+1 \)** corresponds to a slope of +20 dB/decade starting at 0 dB.
- **\( H_3(s) = \frac{10}{s+10} \)**, from a previous problem, needs its magnitude and phase plot reused here.

Combine these plots by stacking magnitudes and phases, taking care to maintain consistent units and scaling for accurate representation of the overall transfer function \( H(s) \).
Transcribed Image Text:**Problem 2** Let us draw the asymptotic Bode plot of the following transfer function: \[ H(s) = \frac{10(s+1)}{s(s+10)} \] but we will do so by constructing the Bode plots for each of the first-order terms separately, \[ H(s) = H_3(s) \cdot H_4(s) \cdot H_5(s) \] where, \[ H_3(s) = \frac{10}{s+10}, \] \[ H_4(s) = \frac{1}{s}, \] and \[ H_5(s) = s+1 \] and then putting those plots together (i.e., by stacking them on top of each other). a) Draw the asymptotic Bode plot of \( H_4(s) = \frac{1}{s} \) b) Draw the asymptotic Bode plot of \( H_5(s) = s+1 \) c) Finally, use the above results to draw the asymptotic Bode plot of: \[ H(s) = H_3(s) \cdot H_4(s) \cdot H_5(s) \] **Note:** You should reuse the asymptotic Bode plot of \( H_3(s) = \frac{10}{s+10} \) from the previous problem. **Explanation:** - **Magnitude Plot**: For each transfer function, you need to plot the magnitude in dB against frequency on a logarithmic scale. - **Phase Plot**: Similarly, the phase angle in degrees should be plotted against frequency. - **\( H_4(s) = \frac{1}{s} \)** corresponds to a slope of -20 dB/decade starting at 0 dB. - **\( H_5(s) = s+1 \)** corresponds to a slope of +20 dB/decade starting at 0 dB. - **\( H_3(s) = \frac{10}{s+10} \)**, from a previous problem, needs its magnitude and phase plot reused here. Combine these plots by stacking magnitudes and phases, taking care to maintain consistent units and scaling for accurate representation of the overall transfer function \( H(s) \).
Expert Solution
steps

Step by step

Solved in 5 steps with 10 images

Blurred answer
Knowledge Booster
Bode Plot
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,