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Applications of the Laplace Transform The following circuit is given an input v:(t) that is 2V for t < 0, and v;(t) = e-tu(t –- 1) for t 2 0. i. Calculate the initial conditions for the circuit components for the 1H given input, and present the redrawn circuit in the s- domain. ii. Calculate the s – domain representation of the input voltage + 1F vi(t). iii. form. Write out the mesh current equations for this circuit in matrix v:(t) 10 vo(t) iv. Calculate the s – domain representation for the output voltage v.(t). Calculate the time – domain representation for the output voltage v,(t). s) Determine the overall impulse response function H(s) for the following system. V. b.

Applications of the Laplace Transform The following circuit is given an input v:(t) that is 2V for t < 0, and v;(t) = e-tu(t –- 1) for t 2 0. i. Calculate the initial conditions for the circuit components for the 1H given input, and present the redrawn circuit in the s- domain. ii. Calculate the s – domain representation of the input voltage + 1F vi(t). iii. form. Write out the mesh current equations for this circuit in matrix v:(t) 10 vo(t) iv. Calculate the s – domain representation for the output voltage v.(t). Calculate the time – domain representation for the output voltage v,(t). s) Determine the overall impulse response function H(s) for the following system. V. b.

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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Applications of the Laplace Transform a. The following circuit is given an input v;(t) that is 2V for t < 0, and v;(t) = e-tu(t – 1) for t 2 0. i. Calculate the initial conditions for the circuit components for the 1H given input, and present the redrawn circuit in the s – domain. ii. o m Calculate the s – domain representation of the input voltage + 1F vi(t). iii. v;(t) 103 vo(t) Write out the mesh current equations for this circuit in matrix 10 form. iv. Calculate the s – domain representation for the output voltage v.(t). Calculate the time – domain representation for the output voltage v.(t). Determine the overall impulse response function H(s) for the following system. V. b. E x(t) h(t) h2(t) h3(t) y(t) h,(t) hs(t)
Transcribed Image Text:Applications of the Laplace Transform a. The following circuit is given an input v;(t) that is 2V for t < 0, and v;(t) = e-tu(t – 1) for t 2 0. i. Calculate the initial conditions for the circuit components for the 1H given input, and present the redrawn circuit in the s – domain. ii. o m Calculate the s – domain representation of the input voltage + 1F vi(t). iii. v;(t) 103 vo(t) Write out the mesh current equations for this circuit in matrix 10 form. iv. Calculate the s – domain representation for the output voltage v.(t). Calculate the time – domain representation for the output voltage v.(t). Determine the overall impulse response function H(s) for the following system. V. b. E x(t) h(t) h2(t) h3(t) y(t) h,(t) hs(t)
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