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A 14 gauge copper wire of diameter 1.628 $\mathrm{mm}$ carries a current of 12.5 $\mathrm{mA}$ (a) What is the potential difference across a 2.00 $\mathrm{m}$ length of the wire? (b) What would the potential difference in part (a) be if the wire were silver instead of copper, but all else was the same?

a)$V=2.063 \times 10^{-4} \mathrm{V}$b)$V=1.75 \times 10^{-4} \mathrm{V}$

Physics 102 Electricity and Magnetism

Chapter 19

Current, Resistance, and Direct-Current Circuit

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Cornell University

Simon Fraser University

Hope College

University of Winnipeg

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Thank you is a cover wire off the imager. 1.6 to 8 millimeters fine. The current flowing through it is 12 point 5,000,000 amperes. No, this is made off cover. Which means we can automatically look up. It's the festivity from a table on It is one once I wantto timestamp are minus 18. I'm sorry about minus eight Only two. Remember that? Oh mater, UC units off unit after assistive ity. Now we want to find out the voltage difference and plus this wire. Now we know that old age is current Times are assistance because of alms law. So if you find resistance, we find the old age. Now we also know that resistance is ro l directed by a where Eliza lint And here's the area off the weir and our assistance is wrong, which we know is 1.72 times to inform my estate Time's a length which is two meters which is given in the problem. And we know that the area, if you are given the diameter D is by r squared which is I'd buy two squared which is probably a squared by four. This is an important family. We need to remember it. Now that we know this, you can see that the area will be pi times our radius which is one point on our diameter which is 1 1.6 to 8 time stamp our ministry because it's millimeters squared, divided by four. Be careful when you write on this. For this for is the denominator in the denominator, which means it causing the venue manager on. When you plug this into a calculator will see that the sea destroyed. So Toby, 1.65 I'm staying power minus two Home. Well, if you know this R ole, did you simply current? I'm sort of assistants, which is 12.5 times 10 bar minus tree, which is the current times. The resistance, which is one point expired on standby minus two. Not the current has units off Ampere on DH Assistant has the units off on Ampere multiplied by home his fault because, well, this show Miss Vole Baram. Pia Onda numbers multiple light. He was 2.6 times 10 4 minus four and studies to context Dance Department's forwards. Now that we know this, what happens if this was a silver instinct. If this wire was made of Silla instead, then we would have to use roll s the necessity of silver instead, which is 1.47 Angstrom bar minus eight Home major. Remember The proper social Studi was 1.72 I'm standby minus. Now that you know this, we know that old age is current times Resistance which gives us the world is for the silver case divided by the whole day Tickets for complicates would be the resistance for the civil case developed by the resistance for copper case because the current would be same in both the cases. Now that we know resistance is ruled by a Onda A and l are the same. We can write this us Ro s by Rosie Where Oh, is that a festivity we get? We Yes, by we see is Royce by Rosie where S and C stand for silver and covers for dealing. Hence, the wattage in Sylar case would be the world it in comfort case times Bro Splc. Now we've seen that the world is for cover. Case for copper was 2.6 times compartments for and we know the receptivity, values and we simply plug them in on this? I don't want to be 1.76 time stamp are minus for Ward.

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