Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
For the circuit shown, what is the reactive power, Q, consumed by the 18+32 2 load impedance? (Assume the voltage source is in RMS.) a. 30 j8 N 18 0 Vs = 25 20° V j32 N 19.53 VAR O 14.84 VAR O 9.80 VAR O 15.63 VAR 12+

For the circuit shown, what is the reactive power, Q, consumed by the 18+32 2 load impedance? (Assume the voltage source is in RMS.) a. 30 j8 N 18 0 Vs = 25 20° V j32 N 19.53 VAR O 14.84 VAR O 9.80 VAR O 15.63 VAR 12+

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
icon
Concept explainers
Question
For the circuit shown, what is the reactive power, \( Q \), consumed by the \( 18 + j32 \, \Omega \) load impedance? (Assume the voltage source is in RMS.) ### Circuit Diagram: - A voltage source, \( \tilde{V}_S = 25 \angle 0^\circ \, V \), is connected in series with three components. - The components are a resistor of \( 3 \, \Omega \), an inductor with a reactance of \( j8 \, \Omega \), and a load impedance of \( 18 + j32 \, \Omega \). - The load impedance is connected between nodes \( a \) and \( b \). ### Options for the reactive power (\( Q \)): - \( 19.53 \, VAR \) - \( 14.84 \, VAR \) - \( 9.80 \, VAR \) - \( 15.63 \, VAR \) ### Analysis: To solve the problem, calculate the reactive power \( Q \) using the formula: \[ Q = I^2 \times X \] where \( I \) is the current through the load and \( X \) is the imaginary part of the load impedance. Use the total impedance to find \( I \) and then apply it to find \( Q \).
Transcribed Image Text:For the circuit shown, what is the reactive power, \( Q \), consumed by the \( 18 + j32 \, \Omega \) load impedance? (Assume the voltage source is in RMS.) ### Circuit Diagram: - A voltage source, \( \tilde{V}_S = 25 \angle 0^\circ \, V \), is connected in series with three components. - The components are a resistor of \( 3 \, \Omega \), an inductor with a reactance of \( j8 \, \Omega \), and a load impedance of \( 18 + j32 \, \Omega \). - The load impedance is connected between nodes \( a \) and \( b \). ### Options for the reactive power (\( Q \)): - \( 19.53 \, VAR \) - \( 14.84 \, VAR \) - \( 9.80 \, VAR \) - \( 15.63 \, VAR \) ### Analysis: To solve the problem, calculate the reactive power \( Q \) using the formula: \[ Q = I^2 \times X \] where \( I \) is the current through the load and \( X \) is the imaginary part of the load impedance. Use the total impedance to find \( I \) and then apply it to find \( Q \).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Synchronous Motor
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