Calculating Power Output of a 580W Heater in the US

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Homework Help Overview

The problem involves calculating the power output of a 580W heater designed for 230V (rms) operation in Germany when it is plugged into a 120V (rms) outlet in the U.S. The original poster seeks to understand the implications of voltage differences on power output while ignoring temperature effects on resistance.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the current in Germany and then apply it to find the power output in the U.S. Some participants question the assumptions about AC and DC usage in different countries and the implications for the calculations.

Discussion Status

The discussion includes attempts to clarify the relationship between current, voltage, and power. Some guidance has been offered regarding the variables involved, but there is no explicit consensus on the correct approach yet. The original poster expresses confusion about the relevance of resistance and the type of current used in different regions.

Contextual Notes

There is a misunderstanding regarding the type of current used in Germany, with some participants incorrectly assuming it to be DC. The original poster is also grappling with the implications of using different voltages for the heater's operation.

jdoggigs
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Homework Statement


A 580w heater is designed for use in Germany, where electric outlets supply 230V(rms) service. What is the power output of the heater when plugged into a 120V(rms) outlet in the U.S.? Ignore the effects of temperature on the heater's resistance.


Homework Equations



barP=I(rms)V(rms)

The Attempt at a Solution


I tried to fine I(rms) by first calculating for I in germany: I(rms)=(580w)/(230V).
Then I used this I(rms) to calaulate U.S. power output; barP=(I(rms))(120V).
This did not give the correct answer.
Would I have to consider that germany uses DC and U.S. uses AC, is there a conversion for this?
Thanks
jdoggigs
 
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Irms will be different in the US than it is in Germany. However, one out of the 4 usual variables will be the same. Question for you: which one?

(The 4 usual variables are V, I, R, and P.)
 
jdoggigs said:

Homework Statement


A 580w heater is designed for use in Germany, where electric outlets supply 230V(rms) service. What is the power output of the heater when plugged into a 120V(rms) outlet in the U.S.? Ignore the effects of temperature on the heater's resistance.


Homework Equations



barP=I(rms)V(rms)

The Attempt at a Solution


I tried to fine I(rms) by first calculating for I in germany: I(rms)=(580w)/(230V).
Then I used this I(rms) to calaulate U.S. power output; barP=(I(rms))(120V).
This did not give the correct answer.
Would I have to consider that germany uses DC and U.S. uses AC, is there a conversion for this?
Thanks
jdoggigs

Btw, Germany does use AC. No country (as far as I know) uses DC as mains.
 
Irms is what I need to find th US power outout, I have no resistance, P is the answer I'm
looking for, so voltage is the same. I'm lost here how does this help?
I assumed that Europe used DC because You need different plugs there.
 
Okay after some consideration of the question asked, I figured it out.
Thanks for all the help'
 

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