In the question whay v(0)=0 v?! 4 The switch in Fig. 8.69 moves from position A to position B at t= 0 (please note that the switch must connect to point B before it breaks the connection at A, a make-before-break switch). Find v() for t> 0. 302 4 H B 20 V 0.25 F () 10 Figure 8.69

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
I need the answer as soon as possible
In the question whay
v(0)=0 v?!
8.14 The switch in Fig. 8.69 moves from position A to
position B at t = 0 (please note that the switch must
connect to point B before it breaks the connection at
A, a make-before-break switch). Find v(t) for t> 0.
30 2
4 H
ww
ele
B9
20 V
0.25 F (1)
102
Figure 8.69
For Prob. 8,14.
Chapter 8, Solution 14.
When the switch is in position A, v(0)=0 and i(0) =
20
= 0.5A. When the switch is in
40
position B, we have a source-free series RCL circuit.
R
10
=1.25
2x4
%3D
2L
1
3D1
%3D
VLC
x4
Since a > w,, we have overdamped case.
S12 = -a t Ja - w = -1.25t 1.5625-1= -0.5 and -2
v(t) = Ae 2+ Be0.5t
(1)
v(0) = 0 = A + B
(2)
i(0) = c
dv(0)
= 0.5
dt
dv(0) 0.5
dt
dv(t)
= -2Ae-2t -0.5Be-0.5t
dt
But
dv(0)
=-2A - 0.5B = 2
dt
(3)
Solving (2) and (3) gives A=-1.3333 and B = 1.3333
v(t) =-1.3333e 4 + 1.3333e 0.5t V.
Transcribed Image Text:In the question whay v(0)=0 v?! 8.14 The switch in Fig. 8.69 moves from position A to position B at t = 0 (please note that the switch must connect to point B before it breaks the connection at A, a make-before-break switch). Find v(t) for t> 0. 30 2 4 H ww ele B9 20 V 0.25 F (1) 102 Figure 8.69 For Prob. 8,14. Chapter 8, Solution 14. When the switch is in position A, v(0)=0 and i(0) = 20 = 0.5A. When the switch is in 40 position B, we have a source-free series RCL circuit. R 10 =1.25 2x4 %3D 2L 1 3D1 %3D VLC x4 Since a > w,, we have overdamped case. S12 = -a t Ja - w = -1.25t 1.5625-1= -0.5 and -2 v(t) = Ae 2+ Be0.5t (1) v(0) = 0 = A + B (2) i(0) = c dv(0) = 0.5 dt dv(0) 0.5 dt dv(t) = -2Ae-2t -0.5Be-0.5t dt But dv(0) =-2A - 0.5B = 2 dt (3) Solving (2) and (3) gives A=-1.3333 and B = 1.3333 v(t) =-1.3333e 4 + 1.3333e 0.5t V.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Coulomb's law
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,