The equation of the system is given as follows: 5yO)+ 4y(t) =4F(t)dt(a) (i) Determine the sensitivity (dy/dt) and (ii) time constant (t) for the system(b) Formulate the general solution of the differential equation if a 3U(t) step inputis applied the system and IC Y(0)=0Solution:The general equation for the first order system is given bydy(t)+ aqy(t) = b,x(t) if dy(t)dtdta1dtdy(t)+ a,y(t) = b,x(t) =5"YO + 4y(t) =4F(t)dtb,(a)(i): Static (steady state value) sensitivity of the system: k =(a)(ii) Hence Time Constant (in seconds) of the system: t:= 1.25 sec4The Equation can be written as 1.25 dye)+ y(t) =F(t)dt(b) For Step Input 3 U(t)

It is given that: 5dytdt+4yt=4Ft..............(i)

The equation of the system is given as follows: + 4y(t) =4F(t) dt a) (i) Determine the sensitivity (dy/dt) and (ii) time constant (t) for the system b) Formulate the general solution of the differential equation if a 3U(t) step inpu s applied the system and IC Y(0)=0 Solution:

The equation of the system is given as follows: + 4y(t) =4F(t) dt a) (i) Determine the sensitivity (dy/dt) and (ii) time constant (t) for the system b) Formulate the general solution of the differential equation if a 3U(t) step inpu s applied the system and IC Y(0)=0 Solution:

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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