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# Answer to Question #15836 in Electric Circuits for gabby

Question #15836
A 550-W space heater is designed for operation in Germany, where household electrical outlets supply 230V (rms) service. what is the power output of the heater when plugged into a 120-V (rms) electrical outlet in a house in the united states? ignore the effects of temperature on the heaters resistance.
1
2012-10-08T11:15:02-0400
Let's find the current consumed by the heater in normal use:

P = UI ==&gt; I = P/U = 550[W]/230[V] &asymp; 2.39[A].

Let's find the resistance of a heater:

P = I&sup2;R ==&gt; R = 550[W]/(2.39[A])&sup2; &asymp; 96.29[&Omega;].

The current consumption when plugged into a 120-V electrical outlet will be

I = U/R = 120[V]/96.29[&Omega;] &asymp; 1.25[A].

So, the power output of the heater when plugged into a 120-V electrical outlet will be

P = I&sup2;R = (1.25[A])&sup2; * 96.29[&Omega;] &asymp; 150[W].

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