Determine vo(t) in the circuit of Fig. 16.6, assuming zero initial conditions. Answer: 40(1-21 — 2te21)u(t) V. 14 FL 1H m 10u(t) V 492 + vo(t)

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
100%

For the following question involving the Laplace transform of a simple circuit, I simply want to know why using source transformation first does not give the same result as solving the question by using current division or KVL.  When I use current division and solve the Laplace, it gives the correct answer.  The second method of source transformation which I have included in the image does not.

Determine v(t) in the circuit of Fig. 16.6, assuming zero initial conditions.
Answer: 40(1-e-21 — 2te21)u(t) V.
14
1 H
m
F:
10u(t) V
492
This methods does NOT give
the correct result: WHY?
JFS
915
+
vo(t)
15
m
t
I (s)
42 V(t)
+ I(s).
Tsys I) 4 = 0
+
(s) [+S+4]
In [4+ 5+ 45] = 40
=
40
S
40
ICs) =
5²+45+4
:.
당(t)=
4. I(s)
160
5²+45 +4
160
(5 +2)
1
Transcribed Image Text:Determine v(t) in the circuit of Fig. 16.6, assuming zero initial conditions. Answer: 40(1-e-21 — 2te21)u(t) V. 14 1 H m F: 10u(t) V 492 This methods does NOT give the correct result: WHY? JFS 915 + vo(t) 15 m t I (s) 42 V(t) + I(s). Tsys I) 4 = 0 + (s) [+S+4] In [4+ 5+ 45] = 40 = 40 S 40 ICs) = 5²+45+4 :. 당(t)= 4. I(s) 160 5²+45 +4 160 (5 +2) 1
Expert Solution
steps

Step by step

Solved in 3 steps with 12 images

Blurred answer
Knowledge Booster
Laplace Transform of Signal
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.
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,