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In this problem, you will verify statements made at the end of the power losses for Example 20.10 . (a) What current is needed to transmit 100 MW of power at a voltage of 25.0 $\mathrm{kV}$ ? (b) Find the power loss in a $1.00-\Omega$ transmission line. (c) What percent loss does this represent?

(a) $I=4.00 \mathrm{kA}$(b) $P^{\prime}=16.0 \mathrm{MW}$(c) Percent loss $=16.0 \%$

Physics 102 Electricity and Magnetism

Chapter 20

Electric Current, Resistance, and Ohm's Law

Current, Resistance, and Electromotive Force

Rutgers, The State University of New Jersey

University of Washington

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McMaster University

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asked on the given day, job power is given us BZ quitter 100 megawatts, so that indicates 100 into Henry's to six words. What this denoted as we is equal to 25 kilo walls, that means 25 into generous two singles, and we need to find that current to transmit the power. So basically, we need to find the value of Phi Steffy as we know that he's equal to ay multiplied by be that its current multiplied by wordage. Therefore, in order to calculate the value of current, it will be a Sharpie to be and he's given us 100. Include an honest or six words divided by 25 killer awards Security 500 mr three. So we get answer as for include and arrested. Three amperes, which will be 4000 amperes has the current which is needed to transfer the power is off 4000 years. Instead, be we need to find a power loss in one home transmission line, so value of I maybe 4000 appears, which we're already bought back here for a distance is given as one homes, and we need to find the power loss so we'll take this power loss notation as speed ash. You start with this. B dash is equal to i square market guided by our So what if I asked for 1000? We'll take the square off it, my tip guided by one on red distance. So B gate big matter, that is 16 red six views What? So 16 in true tenderness, too. Six words work shriek, animation it as 16 media awards. Therefore, Peter Ashe is equal to 16 megawatts. Is a power loss in a transmission line is off 16 megawatts steps See here to calculate the percentage loss we need to take the ratio we dash to be. So therefore, in order to calculate that a B dash could be now read, Ash value is 16 include Dennis to six words, which we have calculated already. And he's the original power. That is 100. Megan. What's so 100? And Brooke and Mr Six warrants on door. Since we need to calculate personal loss, we will multiplied by 100 so this will definitely get canceled. Even 100 get canceled, so we'll get 16%. So what? We can right? Your hands. It represents that there is a 16% power. John's me, she knows, and this would be our answer

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