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Assume that there is no energy stored in any passive element at time t=0. Assume in all cases that the input is of step type (the switch closes at t=0) e:(t) (t) e; (t) = 6 V R = 32 C = 4F R + =éolt! THEY THESE ARE THE STEPS TO FOLLOW; a) Establish the differential equation that models the system. b) Find the transform of the output variable in terms of the transform of the input variable. c) Specify what the transfer function is. d) Find the analytical solution in time of the output variable. e) Graph the analytical solution. f1) In the case of a first order system, specify the value of the time constant, and the values of the output variable at t =0+ and when t tends to infinity. rise, peak time, maximum overelongation and settling time. In the case of a second order system, specify the following values: delay time, time

Assume that there is no energy stored in any passive element at time t=0. Assume in all cases that the input is of step type (the switch closes at t=0) e:(t) (t) e; (t) = 6 V R = 32 C = 4F R + =éolt! THEY THESE ARE THE STEPS TO FOLLOW; a) Establish the differential equation that models the system. b) Find the transform of the output variable in terms of the transform of the input variable. c) Specify what the transfer function is. d) Find the analytical solution in time of the output variable. e) Graph the analytical solution. f1) In the case of a first order system, specify the value of the time constant, and the values of the output variable at t =0+ and when t tends to infinity. rise, peak time, maximum overelongation and settling time. In the case of a second order system, specify the following values: delay time, time

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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SOLVE STEP BY STEP IN DIGITAL FORMAT Assume that there is no energy stored in any passive element at time t=0. Assume in all cases that the input is of step type (the switch closes at t=0) e:(t) ( e; (t) = 6 V R = 32 C = 4F R T THESE ARE THE STEPS TO FOLLOW; + = teolt! a) Establish the differential equation that models the system. b) Find the transform of the output variable in terms of the transform of the input variable. c) Specify what the transfer function is. d) Find the analytical solution in time of the output variable. e) Graph the analytical solution. f1) In the case of a first order system, specify the value of the time constant, and the values of the output variable at t =0+ and when t tends to infinity. rise, peak time, maximum overelongation and settling time. In the case of a second order system, specify the following values: delay time, time
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT Assume that there is no energy stored in any passive element at time t=0. Assume in all cases that the input is of step type (the switch closes at t=0) e:(t) ( e; (t) = 6 V R = 32 C = 4F R T THESE ARE THE STEPS TO FOLLOW; + = teolt! a) Establish the differential equation that models the system. b) Find the transform of the output variable in terms of the transform of the input variable. c) Specify what the transfer function is. d) Find the analytical solution in time of the output variable. e) Graph the analytical solution. f1) In the case of a first order system, specify the value of the time constant, and the values of the output variable at t =0+ and when t tends to infinity. rise, peak time, maximum overelongation and settling time. In the case of a second order system, specify the following values: delay time, time
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