Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
2. Consider a simple AM radio consisting of a tunable L-C circuit. The input is the voltage received by the antenna v,(t), and the output is the voltage vo(t) to an amplifier. The ODE governing the circuit is 4C- d²vo dt² +2× 10 4 dvo dt +2x10¹vo = 2 × 10 4 dus +1 × 10 2vx dt (2) where C is capacitance of the variable capacitor to select stations. (a) Determine the transfer function from vs(t) to vo(t). (b) When C = 50 × 10 12 F, determine the poles and the zeros of the system. (c) Input A is sinusoidal with frequency of 3 ×106 rad/s. Input B is sinusoidal with frequency of 1 x107 rad/s. When C = 50×10-12 F, if both inputs have the same amplitude, which input will lead to a smaller output? Why? (Hint: Don't need to calculate anything.) (d) What is the physical meaning of the magnitude and phase of the transfer function?

2. Consider a simple AM radio consisting of a tunable L-C circuit. The input is the voltage received by the antenna v,(t), and the output is the voltage vo(t) to an amplifier. The ODE governing the circuit is 4C- d²vo dt² +2× 10 4 dvo dt +2x10¹vo = 2 × 10 4 dus +1 × 10 2vx dt (2) where C is capacitance of the variable capacitor to select stations. (a) Determine the transfer function from vs(t) to vo(t). (b) When C = 50 × 10 12 F, determine the poles and the zeros of the system. (c) Input A is sinusoidal with frequency of 3 ×106 rad/s. Input B is sinusoidal with frequency of 1 x107 rad/s. When C = 50×10-12 F, if both inputs have the same amplitude, which input will lead to a smaller output? Why? (Hint: Don't need to calculate anything.) (d) What is the physical meaning of the magnitude and phase of the transfer function?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
2. Consider a simple AM radio consisting of a tunable L-C circuit. The input is the voltage received by the antenna v,(t), and the output is the voltage vo(t) to an amplifier. The ODE governing the circuit is 4C- d²vo dt² +2× 10 4 dvo dt +2x10¹vo = 2 × 10 4 dus +1 × 10 2vx dt (2) where C is capacitance of the variable capacitor to select stations. (a) Determine the transfer function from vs(t) to vo(t). (b) When C = 50 × 10 12 F, determine the poles and the zeros of the system. (c) Input A is sinusoidal with frequency of 3 ×106 rad/s. Input B is sinusoidal with frequency of 1 x107 rad/s. When C = 50×10-12 F, if both inputs have the same amplitude, which input will lead to a smaller output? Why? (Hint: Don't need to calculate anything.) (d) What is the physical meaning of the magnitude and phase of the transfer function?
Transcribed Image Text:2. Consider a simple AM radio consisting of a tunable L-C circuit. The input is the voltage received by the antenna v,(t), and the output is the voltage vo(t) to an amplifier. The ODE governing the circuit is 4C- d²vo dt² +2× 10 4 dvo dt +2x10¹vo = 2 × 10 4 dus +1 × 10 2vx dt (2) where C is capacitance of the variable capacitor to select stations. (a) Determine the transfer function from vs(t) to vo(t). (b) When C = 50 × 10 12 F, determine the poles and the zeros of the system. (c) Input A is sinusoidal with frequency of 3 ×106 rad/s. Input B is sinusoidal with frequency of 1 x107 rad/s. When C = 50×10-12 F, if both inputs have the same amplitude, which input will lead to a smaller output? Why? (Hint: Don't need to calculate anything.) (d) What is the physical meaning of the magnitude and phase of the transfer function?
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS