1. Consider the following Lowpass Filter System. R DI i(t) V(t) C Vou (t) (0)=0 (a) Find the differential equation for the system. Assume that Vout (b) When R=1MQ, C=14F, and Vin (t) = 1(t) volt (i.e. unit step input). By solving the differential equation, find the response of i(t). Also find the response of Vout (c) We define RC=7 as the time constant of the system. For various values of T (i.e, T=0.1, 7= 1 and 7=10), plot the responses of Vout(t) using MATLAB.
1. Consider the following Lowpass Filter System. R DI i(t) V(t) C Vou (t) (0)=0 (a) Find the differential equation for the system. Assume that Vout (b) When R=1MQ, C=14F, and Vin (t) = 1(t) volt (i.e. unit step input). By solving the differential equation, find the response of i(t). Also find the response of Vout (c) We define RC=7 as the time constant of the system. For various values of T (i.e, T=0.1, 7= 1 and 7=10), plot the responses of Vout(t) using MATLAB.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![1. Consider the following Lowpass Filter System.
R
Vin(t)
i(t)
с
Vout (t)
(a) Find the differential equation for the system. Assume that Vout
(0)=0
(b) When R=1M², C=1 μF, and Vin(t) = 1(t) volt (i.e. unit step input). By
solving the differential equation, find the response of i(t). Also find the
response of Vout (t)
(c) We define RC=7 as the time constant of the system. For various
values of 7 (i.e, T=0.1, 71 and 7=10), plot the responses of
Vout (t) using MATLAB.
T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9140117a-ca91-496e-8f50-357ed4775707%2Fef51f250-2f62-4057-8968-cc832a84a0d0%2Fh4yv7id_processed.png&w=3840&q=75)
Transcribed Image Text:1. Consider the following Lowpass Filter System.
R
Vin(t)
i(t)
с
Vout (t)
(a) Find the differential equation for the system. Assume that Vout
(0)=0
(b) When R=1M², C=1 μF, and Vin(t) = 1(t) volt (i.e. unit step input). By
solving the differential equation, find the response of i(t). Also find the
response of Vout (t)
(c) We define RC=7 as the time constant of the system. For various
values of 7 (i.e, T=0.1, 71 and 7=10), plot the responses of
Vout (t) using MATLAB.
T
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