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

AI Thread Summary
The discussion centers on calculating energy usage for a lamp over six hours, using the formula P=V.I.t. The confusion arises from the distinction between power (watts) and energy (joules), with participants clarifying that energy is indeed measured in joules, calculated as power multiplied by time. The correct approach involves converting hours into seconds to ensure the units align, resulting in joules as the final measurement. Participants emphasize the importance of dimensional analysis and proper unit conversion to avoid misunderstandings. Ultimately, the correct calculation confirms that energy is expressed in joules, not watts.
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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