Energy Calculations: P=VxIxt - Why Watts & not Joules?

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Homework Help Overview

The discussion revolves around calculating the energy used by a lamp over a period of 6 hours, specifically addressing the relationship between power, energy, and their respective units (watts and joules).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the formula P=V.I.t and question why the result is expressed in watts rather than joules. There are attempts to clarify the distinction between power and energy, with some participants suggesting dimensional analysis and unit conversion as methods to understand the relationship.

Discussion Status

Some participants have provided guidance on unit conversions and the correct interpretation of the formula, while others express confusion regarding the conversion process and the relationship between watts and joules. Multiple interpretations of the problem are being explored.

Contextual Notes

There is a noted challenge with mathematical understanding among some participants, which may affect their grasp of the physics concepts being discussed.

GSK
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The question:
Calculate the energy used by the lamp in 6 hours of use.

The answer:
P=V.I.t
P= 240v X 0.2A X 6hrs X 3600s

P= 1036800W!?

I thought energy was Joules? Why has the answer been given in watts? Please help!
 
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GSK said:
The question:
Calculate the energy used by the lamp in 6 hours of use.

The answer:
P=V.I.t
P= 240v X 0.2A X 6hrs X 3600s

P= 1036800W!?

I thought energy was Joules? Why has the answer been given in watts? Please help!
Welcome to the PF.

Please be sure to use the Homework Help Template that you are provided when starting schoolwork threads here at the PF. It makes it much easier for us to help you.

On your question, yes, energy should be in units of Joules. Can you post the full question?
 
The answer is indeed in joules
You have done a mistake
Power does not equal the energy applied okay??
It's power ×time which is equal to the energy used up
The expression which you gave gives the amount of energy used by the lamp in 6hours
If I were you I would convert 1 volt
As 1 joule/1 coulomb, 1 ampere as 1 coulomb/1 second
And then multiply these two with the total no.of seconds
As you can then clearly see
You are only left with the unit joules in your answer
You can perform dimensional analysis to further verify your answer!:)
UchihaClan13
 
GSK said:
P= 240v X 0.2A X 6hrs X 3600s
BTW, when doing unit conversions, it's best to just multiply by "1" and cancel units. So using 1 = 3600s/hr, you should have written:

E= 240V X 0.2A X 6hrs X 3600s/hr

And your answer is in units of V * A * s = Joules. :smile:
 
I'm really sorry, but I don't understand what you mean?

Why does 's/hr' then mean it converts to joules from watts?

Apologies, u have a challenge on ur hands with me.

My problem isn't physics, but maths. You're going to tell me they're the same huh?!
berkeman said:
BTW, when doing unit conversions, it's best to just multiply by "1" and cancel units. So using 1 = 3600s/hr, you should have written:

E= 240V X 0.2A X 6hrs X 3600s/hr

And your answer is in units of V * A * s = Joules. :smile:
m really
 
GSK said:
Why does 's/hr' then mean it converts to joules from watts?
s/hr means seconds/hour. You are just converting hr into s so that the unit of energy will be joule. In SI system, joule=V×A×s.
 
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