# Understanding Power and EnergyLet's explore a few more examples that relate power and energy.## Practical ExampleA high-efficiency LED light bulb has a power output of **9.20 W**. This means that **9.20 J** (joules) of electrical energy is converted into electromagnetic (light) energy and radiated every second.### Problem StatementHow much energy is output by the light bulb if it is left on for a total time of **7.50 hours**?## Calculating Energy OutputTo relate power to energy change, use the formula:\[ P = \frac{E}{t} \]Where:- \( P \) is the power (in watts),- \( E \) is the energy (in joules),- \( t \) is the time (in seconds).In this scenario, instead of work \( W \), we consider energy \( E \), which is the amount of energy output or converted over time \( t \). Calculate the total energy output in joules.### Solution Steps1. Convert time from hours to seconds: - \( 7.50 \text{ hours} = 7.50 \times 60 \times 60 \text{ seconds} = 27,000 \text{ seconds} \).2. Solve the equation for energy \( E \) in terms of power \( P \) and time \( t \): \[ E = P \cdot t = 9.20 \times 27,000 = 248,400 \text{ J} \]**Note:** Ensure correct conversion of units—here, \( 1 \text{ W} = 1 \text{ J/s} \).

GIVEN power of bulb = P = 9.2 W Time for which it is left = 7.5 hrs As we know , power =EnergyTime or, 9.2 = Energy7.5×3600 or, Energy = 248400 J So, total energy output = 248400 J

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Physics

Let's try a few more examples that relate power and energy. A certain high-efficiency LED light bulb has a power output of 9.20 W. That is, 9.20 J of electric energy is converted to electromagnetic (light) energy and radiated away every second. How much energy is output by the lightbulb if it is left on for a total time of 7.50 hours? In this case, we're relating power to energy change, so we simply use the relationship E t P = Here, instead of work W, we use in the equation E, which is the amount of energy output or converted in the amount of time t. From this, what do we find the total energy output in joules to be? 33120 x Solve the above equation for the energy E in terms of power P and time t. Remember that 1 W = 1 J/s, so to find the energy in joules, convert the time to seconds first. There are 60 minutes in one hour and 60 seconds in one minute. J

Let's try a few more examples that relate power and energy. A certain high-efficiency LED light bulb has a power output of 9.20 W. That is, 9.20 J of electric energy is converted to electromagnetic (light) energy and radiated away every second. How much energy is output by the lightbulb if it is left on for a total time of 7.50 hours? In this case, we're relating power to energy change, so we simply use the relationship E t P = Here, instead of work W, we use in the equation E, which is the amount of energy output or converted in the amount of time t. From this, what do we find the total energy output in joules to be? 33120 x Solve the above equation for the energy E in terms of power P and time t. Remember that 1 W = 1 J/s, so to find the energy in joules, convert the time to seconds first. There are 60 minutes in one hour and 60 seconds in one minute. J

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

# Understanding Power and Energy

Let's explore a few more examples that relate power and energy.

## Practical Example
A high-efficiency LED light bulb has a power output of **9.20 W**. This means that **9.20 J** (joules) of electrical energy is converted into electromagnetic (light) energy and radiated every second.

### Problem Statement
How much energy is output by the light bulb if it is left on for a total time of **7.50 hours**?

## Calculating Energy Output
To relate power to energy change, use the formula:

\[ P = \frac{E}{t} \]

Where:
- \( P \) is the power (in watts),
- \( E \) is the energy (in joules),
- \( t \) is the time (in seconds).

In this scenario, instead of work \( W \), we consider energy \( E \), which is the amount of energy output or converted over time \( t \). Calculate the total energy output in joules.

### Solution Steps
1. Convert time from hours to seconds:
- \( 7.50 \text{ hours} = 7.50 \times 60 \times 60 \text{ seconds} = 27,000 \text{ seconds} \).

2. Solve the equation for energy \( E \) in terms of power \( P \) and time \( t \):
\[ E = P \cdot t = 9.20 \times 27,000 = 248,400 \text{ J} \]

**Note:** Ensure correct conversion of units—here, \( 1 \text{ W} = 1 \text{ J/s} \).

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