PROBLEM 1: Differential Equation (DE) and Transfer Function (TF) la) Find the u->y TF of the electrical system of Figure la. i(t) R + u(t) · y(t) Figure la: Electrical System governed by a DE Notice that using the current i(t) as “an excuse", we can relate input voltage u(t) to output voltage y(t) via a DE: i(1) =Cy(t)="6)- Y) y(1) +y(t) =u(1) u(t)– y(t) 1 1 R RC* RC 1b) A different system has a TF given by: Y (s) U(s) s(s+1) 10 Find the DE that relates input u(t) and output y(t) of this system (Hint: Think and proceed "backwards")

PROBLEM 1: Differential Equation (DE) and Transfer Function (TF) la) Find the u->y TF of the electrical system of Figure la. i(t) R + u(t) · y(t) Figure la: Electrical System governed by a DE Notice that using the current i(t) as “an excuse", we can relate input voltage u(t) to output voltage y(t) via a DE: i(1) =Cy(t)="6)- Y) y(1) +y(t) =u(1) u(t)– y(t) 1 1 R RC* RC 1b) A different system has a TF given by: Y (s) U(s) s(s+1) 10 Find the DE that relates input u(t) and output y(t) of this system (Hint: Think and proceed "backwards")

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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