Determine the node voltages using nodal analysis.

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
Determine the node voltages using nodal analysis.
P4.3-9 Questions 13 to 16.
Determine the values of the node voltages of the circuit shown.
L
5 V
-8 Ω
M
1.25 A
U2
U3
M
2092
www
1292
w 4
40 22
15 V
Transcribed Image Text:P4.3-9 Questions 13 to 16. Determine the values of the node voltages of the circuit shown. L 5 V -8 Ω M 1.25 A U2 U3 M 2092 www 1292 w 4 40 22 15 V
Super Nade
852=
Amy
1.25A
•
v2
V3
V2=5+14.87
V2=19.87
2052
70: 70,- 5 (2)
70+ 5 (25)= 7 Vi
V₁= 14.87
122,
4022
U₁ =15
Vu
15v
V₂-V₁=5V
KCL at SN
1.25=ig + 120
1.25 = V₁-03 + V₂-04
8
1.25= V₁-3-5 V₂-15.2
8.5
20.2
1.25= 5(U₁-V3) + 2 (V₂-15)
40
50 = 50₁-503 +2V₂-30
80=50, -503 +2V₂
80 =50₁-503 +2(5+V₁)
80=50₁-5V3+ 10 +2V₁
70=70₁ - 503
KCL at
ig + 1₁2 = 140
Node U3
V₁-V2
8
V4-V3 V3
12 40
5(U1-V₂) + 10 (U₁-V3).
=V3
3
15V, -15V2 + 100-10V 3V3
150, -15V2 +10 (15) =11V3
15V, -15V₂ +150 = 1103
+
3150₁ - 15 V₂ +150 =V3
11
15v₁ - 15 (5+ Vi) + 150 = √3
V3
11
15-150₁ +
11
150
= V3
11
-25 + 150 = √3 = 75
75
||
Transcribed Image Text:Super Nade 852= Amy 1.25A • v2 V3 V2=5+14.87 V2=19.87 2052 70: 70,- 5 (2) 70+ 5 (25)= 7 Vi V₁= 14.87 122, 4022 U₁ =15 Vu 15v V₂-V₁=5V KCL at SN 1.25=ig + 120 1.25 = V₁-03 + V₂-04 8 1.25= V₁-3-5 V₂-15.2 8.5 20.2 1.25= 5(U₁-V3) + 2 (V₂-15) 40 50 = 50₁-503 +2V₂-30 80=50, -503 +2V₂ 80 =50₁-503 +2(5+V₁) 80=50₁-5V3+ 10 +2V₁ 70=70₁ - 503 KCL at ig + 1₁2 = 140 Node U3 V₁-V2 8 V4-V3 V3 12 40 5(U1-V₂) + 10 (U₁-V3). =V3 3 15V, -15V2 + 100-10V 3V3 150, -15V2 +10 (15) =11V3 15V, -15V₂ +150 = 1103 + 3150₁ - 15 V₂ +150 =V3 11 15v₁ - 15 (5+ Vi) + 150 = √3 V3 11 15-150₁ + 11 150 = V3 11 -25 + 150 = √3 = 75 75 ||
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Nodal analysis
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,