3. Consider a simple RC circuit with resistance R, capacitance C, and input voltage E(t). The voltage v(t) across the capacitor can be modelled by the differential equation dv_ E(t) – v dt RC . (a) Suppose R = 0.2, C = 1, and E(t) = 0 (zero input source). Find v(t) if v(0) = vo. Ans: v(t) = vo e-5t (b) Suppose R = 0.2, C = 1, and E(t) = 2 (constant voltage source). Find v(t) if v(0) = 0. Ans: v(t) = 2(1 – e-5)

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...
icon
Related questions
icon
Concept explainers
Question
3. Consider a simple RC circuit with resistance R, capacitance C, and input voltage E(t).
The voltage v(t) across the capacitor can be modelled by the differential equation
E(t) – v
RC .
dv
dt
(a) Suppose R = 0.2, C = 1, and E(t) = 0 (zero input source). Find v(t) if v(0) = vo.
Ans: v(t) = vo e-5t
(b) Suppose R= 0.2, C = 1, and E(t) = 2 (constant voltage source). Find v(t) if v(0) = 0.
Ans: v(t) = 2(1 – e-5€)
%3D
Transcribed Image Text:3. Consider a simple RC circuit with resistance R, capacitance C, and input voltage E(t). The voltage v(t) across the capacitor can be modelled by the differential equation E(t) – v RC . dv dt (a) Suppose R = 0.2, C = 1, and E(t) = 0 (zero input source). Find v(t) if v(0) = vo. Ans: v(t) = vo e-5t (b) Suppose R= 0.2, C = 1, and E(t) = 2 (constant voltage source). Find v(t) if v(0) = 0. Ans: v(t) = 2(1 – e-5€) %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Digital to analog converters
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,