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x(t)- y(1) dentify the impulse response of the system. Multiple Cholce h(t) – u(t) %3D h(t) = – 8(t) %3D h(t) = 8(t) h(t) u(t) %3D

x(t)- y(1) dentify the impulse response of the system. Multiple Cholce h(t) – u(t) %3D h(t) = – 8(t) %3D h(t) = 8(t) h(t) u(t) %3D

Introductory Circuit Analysis (13th Edition)
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...
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**Identify the Impulse Response of the System** **Diagram Explanation:** The diagram at the top illustrates a basic system where the input \( x(t) \) is passed through an integrator (represented by the integral symbol inside the box) to produce the output \( y(t) \). **Multiple Choice Question:** Identify the impulse response \( h(t) \) of the system. 1. \( h(t) = -u(t) \) 2. \( h(t) = -\delta(t) \) 3. \( h(t) = \delta(t) \) *(Selected)* 4. \( h(t) = u(t) \) **Explanation of Choices:** - \( u(t) \) represents the unit step function. - \( \delta(t) \) represents the Dirac delta function, also known as the impulse function. In this question, the impulse response \( h(t) = \delta(t) \) was selected as the answer.
Transcribed Image Text:**Identify the Impulse Response of the System** **Diagram Explanation:** The diagram at the top illustrates a basic system where the input \( x(t) \) is passed through an integrator (represented by the integral symbol inside the box) to produce the output \( y(t) \). **Multiple Choice Question:** Identify the impulse response \( h(t) \) of the system. 1. \( h(t) = -u(t) \) 2. \( h(t) = -\delta(t) \) 3. \( h(t) = \delta(t) \) *(Selected)* 4. \( h(t) = u(t) \) **Explanation of Choices:** - \( u(t) \) represents the unit step function. - \( \delta(t) \) represents the Dirac delta function, also known as the impulse function. In this question, the impulse response \( h(t) = \delta(t) \) was selected as the answer.
Expert Solution
Step 1

Using input output relation we will find output y(s) in terms of input x(s).

Using above relation we will find impulse response in s domain.

Now using inverse laplace transform we will find h(t).

 

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