Explanation Given data: The transfer function is, H ( s ) = 2 ( s + 1 ) ( s + 2 ) ( s + 10 ) (1) Calculation: Substitute j ω for s in equation (1) to find H ( ω ) . H ( ω ) = 2 ( j ω + 1 ) ( j ω + 2 ) ( j ω + 10 ) = 2 ( 1 + j ω ) 2 ( 10 ) ( 1 + j ω 2 ) ( 1 + j ω 10 ) = 0.1 ( 1 + j ω ) ( 1 + j ω 2 ) ( 1 + j ω 10 ) From the above equation, the corner frequencies ( ω c ) are 1 , 2 and 10 . Re-write the transfer function H ( ω ) using its magnitude and phase functions as follows, H ( ω ) = | 0.1 | | 1 + j ω | ( | 1 + j ω 2 | ) ( | 1 + j ω 10 | ) ∠ ( tan − 1 ( 0 0.1 ) + tan − 1 ( ω 1 ) − tan − 1 ( ( ω 2 ) 1 ) − tan − 1 ( ( ω 10 ) 1 ) ) = | 0.1 | | 1 + j ω | ( | 1 + j ω 2 | ) ( | 1 + j ω 10 | ) ∠ ( tan − 1 ( 0 ) + tan − 1 ( ω ) − tan − 1 ( ω 2 ) − tan − 1 ( ω 10 ) ) = | 0.1 | | 1 + j ω | ( | 1 + j ω 2 | ) ( | 1 + j ω 10 | ) ∠ ( 0 ° + tan − 1 ( ω ) − tan − 1 ( ω 2 ) − tan − 1 ( ω 10 ) ) { ∵ tan 0 ° = 0 } H ( ω ) = | 0.1 | | 1 + j ω | ( | 1 + j ω 2 | ) ( | 1 + j ω 10 | ) ∠ ( tan − 1 ( ω ) − tan − 1 ( ω 2 ) − tan − 1 ( ω 10 ) ) (2) From equation (2), the magnitude function of H ( ω ) is expressed as follows: | H ( ω ) | = | 0.1 | | 1 + j ω | ( | 1 + j ω 2 | ) ( | 1 + j ω 10 | ) Write the above equation in decibel (dB)

6th Edition

ISBN: 8220102801448

Author: Alexander

Publisher: YUZU

See similar textbooks

Videos

Question

Chapter 14, Problem 15P

To determine

Construct the Bode magnitude and phase plots for the given transfer function.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14, Problem 14P

Chapter 14, Problem 16P

Students have asked these similar questions

5. Three single-phase transformers rated at 250 kVA, 7200 V/600 V, 60 Hz, are connected in wye-delta on a 12470 V, 3-phase line. If the load is 450 kVA, calculate the following currents: (1) In the incoming and outgoing transmission lines (2) In the primary and secondary windings (3) If this transformer is used to raise the voltage of a 3-phase, 600 V line to 7.2 kV. (a) How must they be connected? (b) Calculate the line currents for a 600 kVA load. (c) Calculate the corresponding primary and secondary currents.

please answer handwritten not chatgbt

Chapter 14 Solutions

EBK FUNDAMENTALS OF ELECTRIC CIRCUITS

Ch. 14.2 - Obtain the transfer function VoVs of the RL...Ch. 14.2 - Prob. 2PP Ch. 14.4 - Draw the Bode plots for the transfer function...Ch. 14.4 - Sketch the Bode plots for H()=50j(j+4)(j+10)2 Ch. 14.4 - Construct the Bode plots for H(s)=10s(s2+80s+400)Ch. 14.4 - Obtain the transfer function H() corresponding to...Ch. 14.5 - A series-connected circuit has R = 4 and L = 25...Ch. 14.6 - A parallel resonant circuit has R = 100 k, L = 50...Ch. 14.6 - Calculate the resonant frequency of the circuit in...Ch. 14.7 - For the circuit in Fig. 14.40, obtain the transfer...

Knowledge Booster

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.