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1. Consider the following Lowpass Filter System. R V„(t) i(t) Voue (t) (a) Find the differential equation for the system. Assume that Vout (0) = 0 (b) When R=1M9, c=1F, 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=1 as the time constant of the system. For various values of 7 (i.e, T=0.1, 7=1 and r=10). plot the responses of Vou: (t) using MATLAB.

1. Consider the following Lowpass Filter System. R V„(t) i(t) Voue (t) (a) Find the differential equation for the system. Assume that Vout (0) = 0 (b) When R=1M9, c=1F, 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=1 as the time constant of the system. For various values of 7 (i.e, T=0.1, 7=1 and r=10). plot the responses of Vou: (t) using MATLAB.

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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1. Consider the following Lowpass Filter System. R V„(t) i(t) out (a) Find the differential equation for the system. Assume that Vout (0) = 0 (b) When R=1M9, c=1F, 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 Vous (t) (c) We define RC=T as the time constant of the system. For various values of 7 (i.e, T=0.1, 7=1 and T= 10), plot the responses of Vout (t) using MATLAB.
Transcribed Image Text:1. Consider the following Lowpass Filter System. R V„(t) i(t) out (a) Find the differential equation for the system. Assume that Vout (0) = 0 (b) When R=1M9, c=1F, 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 Vous (t) (c) We define RC=T as the time constant of the system. For various values of 7 (i.e, T=0.1, 7=1 and T= 10), plot the responses of Vout (t) using MATLAB.
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