Explanation Given data: Refer to Figure 16.80(a) in the textbook. Formula used: Write an expression to calculate the Laplace transform. L { f ( t ) } = ∫ 0 ∞ e − s t f ( t ) d t (1) Here, f ( t ) is the input function. Calculation: The given voltage waveform is drawn as shown in Figure 1. From the Figure 1, the input function is v s ( t ) . Substitute v s ( t ) for f ( t ) in equation (1). L { v s ( t ) } = ∫ 0 ∞ e − s t v s ( t ) d t (2) v s ( t ) = { 3 V 0 < t < 1 0 V t > 1 Substitute the value of v s ( t ) in equation (2) to find V s ( s ) b. To determine Find the expression of v o ( t ) for the circuit shown in Figure 16.80(b).

6th Edition

ISBN: 9780078028229

Author: Charles K Alexander, Matthew Sadiku

Publisher: McGraw-Hill Education

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Chapter 16, Problem 57P

To determine

Find the Laplace transform of the voltage shown in Figure 16.80(a) in textbook.

To determine

Find the expression of vo(t) for the circuit shown in Figure 16.80(b).

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Chapter 16, Problem 56P

Chapter 16, Problem 58P

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Chapter 16 Solutions

Fundamentals of Electric Circuits

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Find the Laplace transform of the voltage shown in Figure 16.80(a) in textbook.

Solution Summary: The author explains how to find the Laplace transform of the voltage shown in Figure 16.80(a) in book.

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Find the Laplace transform of the voltage shown in Figure 16.80(a) in textbook.

Find the expression of vo(t) for the circuit shown in Figure 16.80(b).

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Chapter 16 Solutions