Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Q4) Answer question related to circuit giver Given vs(t) = 15 cos(100t) V a) Write vs(t) in phasor form b) In Figure 4a, what is Z₁? c) In Figure 4a, what is Zc? US(1) 10 0 50 mH 150 Συ(0) Figure 4a Z₁ 42(1) 1mF

Q4) Answer question related to circuit giver Given vs(t) = 15 cos(100t) V a) Write vs(t) in phasor form b) In Figure 4a, what is Z₁? c) In Figure 4a, what is Zc? US(1) 10 0 50 mH 150 Συ(0) Figure 4a Z₁ 42(1) 1mF

Introductory Circuit Analysis (13th Edition)
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...
See similar textbooks
icon
Related questions
Question
**Circuit Analysis Problem:** Given \[ v_{S}(t) = 15 \cos (100t) \, V \] ### Questions: a) Write \( v_{S}(t) \) in phasor form. b) In Figure 4a, what is \( Z_L \)? c) In Figure 4a, what is \( Z_C \)? ### Explanation of Figures: **Figure 4a:** This figure represents an AC circuit consisting of: - A voltage source \( v_{S}(t) \) with a voltage of \( 15 \cos(100t) \, V \). - A series resistor of 10 ohms (Ω). - An inductor of 50 millihenries (mH). - A resistor of 15 ohms (Ω) in parallel with the combination of the 50 mH inductor. - A capacitor of 1 millifarad (mF) in parallel with the resistor-inductor combination. ### Analyzing Figure 4a Components: 1. **Inductor (\( Z_L \)) Calculation:** - Inductor \( Z_L \) can be found using \( Z_L = j \omega L \), where \( \omega = 100 \, rad/s \) and \( L = 50 \, mH \). 2. **Capacitor (\( Z_C \)) Calculation:** - Capacitor \( Z_C \) can be found using \( Z_C = \dfrac{1}{j \omega C} \), where \( \omega = 100 \, rad/s \) and \( C = 1 \, mF \).
Transcribed Image Text:**Circuit Analysis Problem:** Given \[ v_{S}(t) = 15 \cos (100t) \, V \] ### Questions: a) Write \( v_{S}(t) \) in phasor form. b) In Figure 4a, what is \( Z_L \)? c) In Figure 4a, what is \( Z_C \)? ### Explanation of Figures: **Figure 4a:** This figure represents an AC circuit consisting of: - A voltage source \( v_{S}(t) \) with a voltage of \( 15 \cos(100t) \, V \). - A series resistor of 10 ohms (Ω). - An inductor of 50 millihenries (mH). - A resistor of 15 ohms (Ω) in parallel with the combination of the 50 mH inductor. - A capacitor of 1 millifarad (mF) in parallel with the resistor-inductor combination. ### Analyzing Figure 4a Components: 1. **Inductor (\( Z_L \)) Calculation:** - Inductor \( Z_L \) can be found using \( Z_L = j \omega L \), where \( \omega = 100 \, rad/s \) and \( L = 50 \, mH \). 2. **Capacitor (\( Z_C \)) Calculation:** - Capacitor \( Z_C \) can be found using \( Z_C = \dfrac{1}{j \omega C} \), where \( \omega = 100 \, rad/s \) and \( C = 1 \, mF \).
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Capacitor
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,
SEE MORE TEXTBOOKS