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 TimeThe 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 Observations1. **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.

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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.

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