Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
A load of 40 -j 30 is connected to a source of 100 V with a phase angle of 30°, through a transmission line with an inductive reactance of 30 ohms. The total reactive power absorbed by the load is: O A. 187.5 vars O B. 177.5 vars O C. None of choices are correct O D. 184 vars OE. 120 vars

A load of 40 -j 30 is connected to a source of 100 V with a phase angle of 30°, through a transmission line with an inductive reactance of 30 ohms. The total reactive power absorbed by the load is: O A. 187.5 vars O B. 177.5 vars O C. None of choices are correct O D. 184 vars OE. 120 vars

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
**Question:** A load of 40 - j 30 is connected to a source of 100 V with a phase angle of \( 30^\circ \), through a transmission line with an inductive reactance of 30 ohms. The total reactive power absorbed by the load is: **Options:** - A. 187.5 vars - B. 177.5 vars - C. None of choices are correct - D. 184 vars - E. 120 vars (correct answer) **Explanation:** In this question, we are given a complex impedance load and asked to find the total reactive power absorbed by the load. The load is connected through a transmission line with a given inductive reactance. ### Solution Overview: Reactive power (measured in vars) can be calculated using the formula: \[ Q = V^2 \cdot \Im(\frac{1}{Z}) \] Where: - \(Q\) is the reactive power. - \(V\) is the voltage across the load. - \(Z\) is the complex impedance of the load. - \(\Im(\frac{1}{Z})\) represents the imaginary part of the complex admittance (inverse of impedance). ### Graphs/Diagrams: Since the problem text does not contain any graphical elements, and it is a text-based physics problem, no additional diagrams or graphs are needed to explain the solution. The problem can be solved through theoretical calculations. By examining the given options, the correct answer is indicated by the letter “E”, which corresponds to 120 vars.
Transcribed Image Text:**Question:** A load of 40 - j 30 is connected to a source of 100 V with a phase angle of \( 30^\circ \), through a transmission line with an inductive reactance of 30 ohms. The total reactive power absorbed by the load is: **Options:** - A. 187.5 vars - B. 177.5 vars - C. None of choices are correct - D. 184 vars - E. 120 vars (correct answer) **Explanation:** In this question, we are given a complex impedance load and asked to find the total reactive power absorbed by the load. The load is connected through a transmission line with a given inductive reactance. ### Solution Overview: Reactive power (measured in vars) can be calculated using the formula: \[ Q = V^2 \cdot \Im(\frac{1}{Z}) \] Where: - \(Q\) is the reactive power. - \(V\) is the voltage across the load. - \(Z\) is the complex impedance of the load. - \(\Im(\frac{1}{Z})\) represents the imaginary part of the complex admittance (inverse of impedance). ### Graphs/Diagrams: Since the problem text does not contain any graphical elements, and it is a text-based physics problem, no additional diagrams or graphs are needed to explain the solution. The problem can be solved through theoretical calculations. By examining the given options, the correct answer is indicated by the letter “E”, which corresponds to 120 vars.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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.
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,
SEE MORE TEXTBOOKS