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QI (a) A system is described in the time domain by the equation: *(t) + 10×(t) + 30x(t) = u(t) %3D Assume that all initial conditions as zero. Find the transfer function of this system, and the steady-state response for an impulse input using the Final Value Theorem. (i) Find the time domain response of the system for an impulse input and verify that the response as t→ o is the same as that given by the Final Value Theorem. (ii) The Frequency response of a system can be obtained experimentally or theoretically. Briefly explain both approaches. Which are the two common methods to represent the frequency response graphically? (b) Give a definition of a root-locus diagram. In your answer, explain what is meant by characteristic equation and discuss its significance in this context. (c)

QI (a) A system is described in the time domain by the equation: *(t) + 10×(t) + 30x(t) = u(t) %3D Assume that all initial conditions as zero. Find the transfer function of this system, and the steady-state response for an impulse input using the Final Value Theorem. (i) Find the time domain response of the system for an impulse input and verify that the response as t→ o is the same as that given by the Final Value Theorem. (ii) The Frequency response of a system can be obtained experimentally or theoretically. Briefly explain both approaches. Which are the two common methods to represent the frequency response graphically? (b) Give a definition of a root-locus diagram. In your answer, explain what is meant by characteristic equation and discuss its significance in this context. (c)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Q1 (a) A system is described in the time domain by the equation: *(t) + 10x(t) + 30x(t) = u(t) Assume that all initial conditions as zero. Find the transfer function of this system, and the steady-state response for an impulse input using the Final Value Theorem. (ii) Find the time domain response of the system for an impulse input and verify that the response as t → o is the same as that given by the Final Value Theorem. (b) The Frequency response of a system can be obtained experimentally or theoretically. Briefly explain both approaches. Which are the two common methods to represent the frequency response graphically? (c) Give a definition of a root-locus diagram. In your answer, explain what is meant by characteristic equation and discuss its significance in this context.
Transcribed Image Text:Q1 (a) A system is described in the time domain by the equation: *(t) + 10x(t) + 30x(t) = u(t) Assume that all initial conditions as zero. Find the transfer function of this system, and the steady-state response for an impulse input using the Final Value Theorem. (ii) Find the time domain response of the system for an impulse input and verify that the response as t → o is the same as that given by the Final Value Theorem. (b) The Frequency response of a system can be obtained experimentally or theoretically. Briefly explain both approaches. Which are the two common methods to represent the frequency response graphically? (c) Give a definition of a root-locus diagram. In your answer, explain what is meant by characteristic equation and discuss its significance in this context.
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