The amount of electrical power drawn at a particular time is measured in kilowatts, while the amount of electrical energy used is measured in kilowatt hours. Given to the right is a graph of P(t), the amount of electrical power drawn by a household, in kilowatts, where t represents the number of hours after 12:00 noon. (a) What is the maximum power drawn by the household, and when does this maximum occur? (b) how do you estimate the total electrical energy used by the household, in kilowatt hours, between noon and midnight.

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

The amount of electrical power drawn at a particular time is measured in kilowatts, while the amount of electrical energy used is measured in kilowatt hours. Given to the right is a graph of P(t), the amount of electrical power drawn by a household, in kilowatts, where t represents the number of hours after 12:00 noon.

(a) What is the maximum power drawn by the household, and when does this maximum occur?

(b) how do you estimate the total electrical energy used by the household, in kilowatt hours, between noon and midnight. 

### Analyzing Power Usage Over Time

The graph presented illustrates the power usage \( P \) in kilowatts over a period of 12 hours. 

#### Description of the Graph

- **X-axis:** Represents time (\( t \)) in hours, ranging from 0 to 12 hours.
- **Y-axis:** Represents power (\( P \)) in kilowatts, ranging from 0 to 1.6 kilowatts.

#### Key Observations

1. **Initial Increase:** The power starts at 0 kilowatts and rises steadily to about 1.4 kilowatts around the 4-hour mark.
  
2. **Peak Point:** The maximum power usage occurs at approximately 1.4 kilowatts.

3. **Decrease:** After reaching its peak, the power usage decreases gradually to about 0.2 kilowatts by the end of the 12-hour period.

This pattern may reflect a typical usage cycle in a residential or commercial setting where energy demand peaks at certain hours and tapers off. Understanding these patterns can help in optimizing energy consumption and managing resources more efficiently.
Transcribed Image Text:### Analyzing Power Usage Over Time The graph presented illustrates the power usage \( P \) in kilowatts over a period of 12 hours. #### Description of the Graph - **X-axis:** Represents time (\( t \)) in hours, ranging from 0 to 12 hours. - **Y-axis:** Represents power (\( P \)) in kilowatts, ranging from 0 to 1.6 kilowatts. #### Key Observations 1. **Initial Increase:** The power starts at 0 kilowatts and rises steadily to about 1.4 kilowatts around the 4-hour mark. 2. **Peak Point:** The maximum power usage occurs at approximately 1.4 kilowatts. 3. **Decrease:** After reaching its peak, the power usage decreases gradually to about 0.2 kilowatts by the end of the 12-hour period. This pattern may reflect a typical usage cycle in a residential or commercial setting where energy demand peaks at certain hours and tapers off. Understanding these patterns can help in optimizing energy consumption and managing resources more efficiently.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Electric heating unit
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,