Sketch the magnitude Bode plot for
Sketch the Bode magnitude plots for given transfer function.
Explanation of Solution
Given data:
The transfer function is,
Calculation:
Compare the denominator factor of equation (1) with the standard quadratic equation
For the quadratic factor, the corner frequency is
Substitute
Simplify the above equation as follows:
From the above equation, the corner frequencies
Re-write the transfer function
From equation (2), the magnitude function of
Write the above equation in decibel (dB).
From equation (2), the phase angle is expressed as follows:
Substitute
Substitute
Substitute
Similarly, by substituting various values for
Table 1:
0.1 | 1 | 2 | 10 | 20 | 50 | |
–26.063 | –9.0092 | –6.903 | –4.192 | –3.021 | –12.709 |
The Figure 1 is the magnitude plot of the given transfer function obtained using Table 1.
Conclusion:
Thus, the Bode magnitude plot for given transfer function is sketched.
Want to see more full solutions like this?
Chapter 14 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
- How many corner frequencies are in the following sinusoidal transfer function? 1 19 - G(ja) = (10 – jw)(100 + jw)(jw + 1) O A) There are not correct answers O B) four C) two O D) three O E) fivearrow_forward8. What is the phase of this transfer function? 1 R+ H(w)= jaC+1/R (R+ jaL)arrow_forwardHow many corner frequencies are in the following sinusoidal transfer function? 10(jw + 100) (jw + 1) 17 - G(jw) = O A) There are not correct answers B) four C) three O D) five E) twoarrow_forward
- Sketch the asymptotic magnitude of the Bode diagram of H(s) = 10². s+1 5s²+10s +500arrow_forwardQ3-plot an approximate Bode diagram (logarithm of magnitude and phase shift) for the system gives below s+10 S²+3s H(s)-10-arrow_forwardHow a magnitude Bode plot is constructed knowing the transfer function of the system. H(s) s4 + 1061s³ +62 060s² + 1 061 000s +1 000 000 2s³ +840s² + 76 000s +1 200 000 (Please explain intermediate steps)arrow_forward
- Represent (-99)10 in a) Sign Magnitude form and b) Sign 1’s Complement form. c) Sign 2’s Complement form.arrow_forward12. Given the following transfer function for H(s), find the magnitude for H(jw) forw = 0 (use two digits to the right of the decimal place). H(0) = s + 10 (D+) (A+2-y) (S+2+j)arrow_forwardCan someone show me how to calculate magnitude and phase of the transfer function below Don't provide answer in handwritten way Only typed answere Oarrow_forward
- Q1/ Draw the bode plot below on the semi-log paper and find GM and PM for G (s)H(s) 100 s(s+1)(s+2) 80 Bode Diagram 60 40 20 -20 -40 -60 -80 -100 -90 -135 -180 -225 -270 102 10 10° 10 102 Frequency (rad/s). (6ap) aseud Magnitude (dB)arrow_forwardProblem 1 Consider the following RLC circuit with L = 10mH. iR Vo R The voltage across the capacitor is defined as: v(t) = 40e-1000t - 90e-4000t t2 0 a) Compute the resonant frequency (w.), neper frequency (a), C and R. b) Compute ig (t),ic(t)arrow_forwardA series RLC resonant circuit has an inductance equal to 5 mH, and capacitance equal to 4.7 micoF. Determine the new value of the capacitance needed to double the value of the resonant frequency. (Could you please write out the steps)arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,