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D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) +3 +7y = 6r, + 5r2 – 45 dra dr? dt Ans. T1(s) = 6/(s² + 3s +7); Tj2(s) = (-4s+5)/(s² + 3s +7) (b) dyi +2yı = dt dr - 3r di di? dyz dr + 6y = 4 di dt Ans. T1(s) = (s – 3)/(s² +6s +2); T1(8) = 45/(s +6) (c) +6 dt d²r dr? + 3ri +72 + yi = d³y; +6 di drz + 2 = 4 dt dr Ans. T1(s) = (s³+3)/(s³ +7s² +6s + 1); T2(s) = 1/(s³ + 7s² + 6s + 1); T1(s) = 0; Tz(s) = 4s/(s³ +7s² + 6s + 1)

D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) +3 +7y = 6r, + 5r2 – 45 dra dr? dt Ans. T1(s) = 6/(s² + 3s +7); Tj2(s) = (-4s+5)/(s² + 3s +7) (b) dyi +2yı = dt dr - 3r di di? dyz dr + 6y = 4 di dt Ans. T1(s) = (s – 3)/(s² +6s +2); T1(8) = 45/(s +6) (c) +6 dt d²r dr? + 3ri +72 + yi = d³y; +6 di drz + 2 = 4 dt dr Ans. T1(s) = (s³+3)/(s³ +7s² +6s + 1); T2(s) = 1/(s³ + 7s² + 6s + 1); T1(s) = 0; Tz(s) = 4s/(s³ +7s² + 6s + 1)

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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D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) d²y dr? drz +32 +7y = 6rı + 5r2 - 4 dt dt Ans. T1(s) = 6/(s² + 3s + 7); T12(s) = (-4s +5)/(s² + 3s + 7) d²y, dy +6- dt? dr +2yı 3r %3D dt dt dyz + 6y2 = 4 dt dr dt Ans. T1(s) = (s - 3)/(s² +6s +2); T1(s) = 4s/(s +6) %3D ww. (c) d?ri di? di3 dr2 +6- dt + yı = + 3rı +r2 dy2 dr2 + y2 = 4- dr +7 +6 dr3 dt? dt Ans. T1(s) = (s³ + 3)/(s +7s² + 6s + 1); T12(s) = 1/(s³ + 7s² + 6s + 1); T21 (s) = 0; T2(s) = 4s/(s³ + 7s² + 6s + 1) %3D
Transcribed Image Text:D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) d²y dr? drz +32 +7y = 6rı + 5r2 - 4 dt dt Ans. T1(s) = 6/(s² + 3s + 7); T12(s) = (-4s +5)/(s² + 3s + 7) d²y, dy +6- dt? dr +2yı 3r %3D dt dt dyz + 6y2 = 4 dt dr dt Ans. T1(s) = (s - 3)/(s² +6s +2); T1(s) = 4s/(s +6) %3D ww. (c) d?ri di? di3 dr2 +6- dt + yı = + 3rı +r2 dy2 dr2 + y2 = 4- dr +7 +6 dr3 dt? dt Ans. T1(s) = (s³ + 3)/(s +7s² + 6s + 1); T12(s) = 1/(s³ + 7s² + 6s + 1); T21 (s) = 0; T2(s) = 4s/(s³ + 7s² + 6s + 1) %3D
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