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Problem 58 Easy Difficulty

00 -gauge copper wire has a diameter of 9.266 $\mathrm{mm}$ . Calculate the power loss in a kilometer of such wire when it carries $1.00 \times 10^{2} \mathrm{A}$ .

Answer

$P=2.55 \mathrm{kW}$

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Physics 102 Electricity and Magnetism
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Chapter 20

Electric Current, Resistance, and Ohm's Law

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Video Transcript

Ah, now equal. Huh? One kilometer, which is 1000 meters. And we also know that the emitter is to 9.2 to 66 millimeters. So we can determine the resistance off this wire are equal role l over s right. So row l over SS has expression pie the over to squid. Right? So we want to determining the power loss on the wire. It would have current I pull 100 amperes so he simply go to I square times are okay, So if you're plugging the expression for are so that we ii squid times row time sell delight by high D over to split. Hey, you simply need to plug in the numbers and you can see that the final solution Just, uh 25 50 What's okay?

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