1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0, it moves to position 'A'. Using differential equation, find Vc(t) for t ≥ 0. a. Write a differential equation in vc(t). b. Find a and wo- c. Find the characteristic equation and the roots of the characteristic equation. d. Find the final value of voltage vc(t) cross the capacitor. e. Find voltage vċ(t) cross the capacitor for t> 0 and sketch it. Solution: 60V 5 mH 8002 ww t=0 2 μF B + Vc(t) 15 KQ 9 KQ www 40V

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
Question

need help with d and e

1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0,
it moves to position 'A'. Using differential equation, find Vc (t) for t ≥ 0.
a. Write a differential equation in vc(t).
b. Find a and wo.
c. Find the characteristic equation and the roots of the characteristic equation.
d. Find the final value of voltage ve(t) cross the capacitor.
e. Find voltage v.(t) cross the capacitor for t≥ 0 and sketch it.
Solution:
60V
5 mH
80 Ω
www
A
t = 0
2 μF
B
+
Vc(t)
in
15 ΚΩ
9 ΚΩ
ww
40V
Transcribed Image Text:1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0, it moves to position 'A'. Using differential equation, find Vc (t) for t ≥ 0. a. Write a differential equation in vc(t). b. Find a and wo. c. Find the characteristic equation and the roots of the characteristic equation. d. Find the final value of voltage ve(t) cross the capacitor. e. Find voltage v.(t) cross the capacitor for t≥ 0 and sketch it. Solution: 60V 5 mH 80 Ω www A t = 0 2 μF B + Vc(t) in 15 ΚΩ 9 ΚΩ ww 40V
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 13 images

Blurred answer
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,