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Physics Lesson 15.6.3 - Joule or kW-h?

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Welcome to our Physics lesson on Joule or kW-h?, this is the third lesson of our suite of physics lessons covering the topic of Electric Power and Efficiency, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

Joule or kW-h?

You may have realized in the above example that the values of energy are considerable. Only in two minutes of operation, the values of energy produced by the source were several hundreds of thousands of Joules. On the other hand, a home circuit contains a lot of electric appliances operating simultaneously and the electricity bill is paid once a month. If the electric energy consumed were calculated in Joules, the number showing the value of energy consumption would be too large. Therefore, it is better to use a more suitable unit of energy to make the work of the employees who deal with electricity bill easier but also to make the consumer to easily understand how much he has to pay. This unit is known as kilowatt - hour (kW-h). Kilowatt- hour means kilowatts multiplied by hour. Given that 1 kW = 1000 W and 1 hour = 60 ∙ 60 = 3600 s, the conversion factor between kW-h and Joule is

1 kWh = 1kW ∙ 1h
= 1000 W ∙ 3600s
= 3 600 000 J

A normal family consumes from a few hundreds to a few thousands kWh electrical energy in a month. This makes the electric board meter easy to read and you could complete these calculations for your own home.

Example 3

A family electric board meter reads 034604.5 kWh on April 1 and 035179.3 kW-h on April 30. If the price is ₤0.2/kWh, what is the energy in Joules consumed during the month of April and what is the electricity bill the owner has to pay?

Solution 3

First, we find the energy consumed in kW-h by subtracting the final and the initial value the electric board meter reads. We have

E(kW-h) = Final reading - Initial Reading
= 035179.3 kWh - 034604.5 kWh
= 574.8 kWh

When converted into Joules, this value becomes

E(J) = E(kWh) ∙ 3 600 000 J/kWh
= 574.8 kWh ∙ 3 600 000 J/kWh
= 2 069 280 000 J

The electricity bill is calculated by considering the electricity in kWh consumed. We have

Bill = Amount (in kWh) ∙ Price per kWh
= 574.8 kWh ∙ ₤0.2/kWh
= ₤114.96

You have reached the end of Physics lesson 15.6.3 Joule or kW-h?. There are 4 lessons in this physics tutorial covering Electric Power and Efficiency, you can access all the lessons from this tutorial below.

More Electric Power and Efficiency Lessons and Learning Resources

Electrodynamics Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
15.6Electric Power and Efficiency
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
15.6.1Mechanical Power Recap. The Meaning of Electric Power
15.6.2Input and Output Electric Power. Joule's Law
15.6.3Joule or kW-h?
15.6.4Other Forms of Writing the Formula of Electric Power

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  1. Joule Kwh Feedback. Helps other - Leave a rating for this joule kwh (see below)
  2. Electrodynamics Physics tutorial: Electric Power and Efficiency. Read the Electric Power and Efficiency physics tutorial and build your physics knowledge of Electrodynamics
  3. Electrodynamics Revision Notes: Electric Power and Efficiency. Print the notes so you can revise the key points covered in the physics tutorial for Electric Power and Efficiency
  4. Electrodynamics Practice Questions: Electric Power and Efficiency. Test and improve your knowledge of Electric Power and Efficiency with example questins and answers
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  6. Continuing learning electrodynamics - read our next physics tutorial: RC Circuits

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