an-array-of-solar-panels-produces-945-a-of-direct-current-at-a-potential-difference-of-192-mathrmv-t

Question

An array of solar panels produces 9.45 A of direct current at a potential difference of 192 $\mathrm{V}$ . The current flows into an inverter that produces a $60-\mathrm{Hz}$ alternating current with $V_{\max }=171 \mathrm{V}$ and $I_{\max }=19.5 \mathrm{A}$ (a) What rms power is produced by the inverter? (b) Use the rms values to find the power efficiency $P_{	ext { out }} / P_{	ext { lin }}$ of the inverter.

João Gabriel Alencar Caribé · Accepted Answer

the first item off this question asked us to cooperate. What is the average are amass power. Produce it by the inverter. The average power producer by the inverter is equals to our times. I are a mess squared. We begin by calculating the resistance off that circuit. So by using arms law V is equals toe are times I solving for the resistance. We get that our is the coast movie over I then plugging the values for the maximum current and the maximum voltage we get that the resistance is equals to 171 or her 19.5. And no, we get that the average power is equals to 107 to 1, divided by 19.5 times. I are a mess to get that I wear a mask current. We have to do the following. So remember that the i r. A. Mast is it close to the maximum current divided by the square root of two. Then week unplugging these equations in our equation for the power to get that these easy goes to 107 to 1 divided by 19.5. Thanks. I&#x27;m Max squared divided bite you and finally bringing their value off the maximum current we get 107 21 times 19.5 squared, divided by two times 19.5. Finally we get that. The average power is he goes to 100.6 to 7 kilo walks. The second item. We have to evaluate the efficiency of the inverter. So the efficiency is given by the power output divided by the power input off the inverter. We already know the power output. It Z equals to 1.627 kilo. What&#x27;s so the efficiency is equals to 1.6 to 7, divided by the power input. The power input is very simple to copulate in his ego&#x27;s, too. The input current times, the input voltage And these are these values that were given in the question. So by plugging these values in the equation for the input power, we get that these these equals to 9.45 times 192 and these is equals true, one 0.8 to 1. What off it With power pointing, then you put power in our equation for the efficiency we get 1.67 divided by 1.8 to 1, and this is approximately 92.3% off efficiency.

Yaqub Khan · Answer

it sure is. That gun lord resents is equal to zero. So the current emitted by solar panel will be maximum. So from the graph, a maximum guarantees. So I&#x27;m fired five m beer So we have yourself good governed. Is that goto seven point. Why MBIA when Lord distance becomes infinity then there is no current in the circuit. The word asia So the panel this situation is called open. Is that good potential? So from the graph it I was too little. We have we equal toe 22 waters. So or prince of his potential is 22 world Now, in the seaport of this problem, we want to calculate the power it want a, B, C, D and e So I find here Good point there The hell wordage equal to zero on DDE. Currently called Tau seven. Find 5 p.m. Pierre s power musical tow three times I here with zero. There&#x27;s why power will be called to zero. It wants no head point Be the hell wordage you call too. Nine World on DDE Current equal toe seven wired 33 and beer. So power it would be Is it going toe or test times current. So what is the nine World multiply currently? Is 7.33 ampere. So we get How would it be? He called to 66. What? That is a power donated by. So there&#x27;s been no hit point. See, Rio, what is equal toe during the world and currently called too 6.5 in beer So powered C will be called to three times I here really is 20 world multiply 6.5 appear so we get power Air C is equal to 1 30 What? Now we want to complete our ed point from D Eddie What day is equal to 21 by 75 World Andi Kern produced by this other penalties three NPR. So power Eddie is equal to three times I here we used to into one pint 75 World multiply currently is a tree And Pierre So by much buying these two numbers he good already equal to 65 Find do five. What now? We want to complete power point Hey, at pointy all day she is do our world on the current produce by the so dependent is equal to zero So power it easy, Kal Toh, Three times I he rises zero There&#x27;s why power Eddie is equal to a little

David Collins · Answer

so this question has stayed, well, casing in this chapter, but it&#x27;s just a simple unit conversion to take our 40 centimeters squared. We can convert him two meters squared and then multiply it by the conversion factor of one kilowatt per meter squared. And then there&#x27;s 1000 watts for every kilowatt. Efficiency was not taken into consideration. We multiply that in right now and get 10000.6 watts. However, if efficiency was already taken into consideration that we don&#x27;t need that and we&#x27;ll get 4.0 watts, we&#x27;ll use the 4.0 watts stance of the second part of the question powers and equal to current multiplied by voltage. So if we rearrange it current is power divided by voltage or 8.9 amps.

Mederic Rodriguez · Answer

in this problem. We have a solar cell with an electro motive force of 0.45 volts. If you&#x27;ve sell supplies a current, uh, 18 Milly amps, which is the same as 18 times 10 to the negative third amps for a time of nine hours. How much energy does it supply? So we&#x27;re going to be using the equation. Energy is electric force times a charge. We don&#x27;t know the charge, but we do know that the current ego, the charge over the time we have the time and we have the current. So we just rearrange it to find the charge. Current is 18 times 10 to the third times. Nine hours. We convert that seconds 60 time 60 and we get 5 80 three cool arms. We go back to our equation. 0.45 bolds times 5 83 Cool ums, and we get 262 0.4. Jules, pray next we have to find the power. Power is w over t work over time, work or energy. The same electrical force times at the time. Times a charge. Excuse me, and we know that que or charge equals current times time. So we put that into the equation. We get electro motive force times, current times time divided by time These cancel out and we saw 0.45 times the current, which is 0.18 and we get 8.1 times 10 to the negative three watts.

Bruce Edelman · Answer

Okay, sort of In chapter 26 problems 75. So I says a solar sail. Solar also not sail solar cell. Three centimeter squares of three by three centimeters. So has an output of 350 million amps at 84 for 8.8 volts. Sorry. And I can&#x27;t talk very well right now. So output of 3 50 Mila amps zero porn, eight balls. And it says a solar panel that delivers close to 1.3 amps of a current at an E M F 120 volts to an external load is needed. So we need 1.3 aims 120 volts. How many cells where you need to create this panel. Okay, so to build up a higher voltage, we know we put the cells in Siri&#x27;s. And if we need 100 and 20 volts from a series of cells and each cell is 0.8 Holt&#x27;s purcell, we just divide that and we see that we need roughly 150 cells to provide the voltage. Since all of these cells are the same, they&#x27;re going to have this girl in Siri&#x27;s. They&#x27;re gonna all have the same current going through the A current of 350 milligrams to achieve the higher current. Now we need to make banks of these cells that can all be connected in parallel. So if we have cells are banks of cells and parallel from each other, then their currents are going to. So if we take, we need a 1.3 amps of current and we&#x27;re getting 350 million amps per bang. We divide this out and we need says 3.71 banks, since we can&#x27;t really have banks of different mounts because they&#x27;re gonna have different voltage, we need each bank to have the same amount of cells and Siri&#x27;s, because otherwise they would have different cultures from each other. So we have to round up here and use four thanks of 150 cells each. So how many self total is that 600 cells needed? We write that better. Sorry. 600 cells. I need it to create this panel. So the second part of the question is healthy. The panel will you need and how should you connect the cells to one another? Okay, so we know that the panel area is 600 settles and each cell has a three times 10 to the negative two meter times, three times in a two meter area. So the total area here multiply these together and times it by 600 is 0.5 for square meters. So we need 600 cells. We need it to be an area of 0.54 square meters. And the last question that says it is not quite not the last question second to last is how you connect these cells. So we&#x27;re gonna have four banks and parallel like this where each of these have 150 cells in Siri&#x27;s. So we have 150 groups of our groups of 150 cells and Siri&#x27;s and four of those groups connected together and parallel. Okay, so this produces a little bit more than we need value because we only needed 3.71 thanks to produce. Right. So this is gonna be 1.4 aims at 120 volts and says to optimize the output. Oh, sorry. How can you optimize the output of a solar panel Well, we can always have it winning directly at the sun, obviously. Right point, son, What you can see, Um, sometimes, depending on where you are, if the sun&#x27;s gonna be moving a lot, it&#x27;s worth it to produce small motors on your solar cells on track this son. But that obviously takes energy. So you have to think about Is it worth it, too? Set up a stationary solar panel at the average. Or the woman the angle that gets the most direct sunlight on average. Or is it better to create small motors on that? Tilt your polar SOS to follow the sun, but that&#x27;s gonna take some energy. So you have to be an engineering problem and just figure out what works best, right? So for different areas is gonna be different. But a lot of the less son your places, it&#x27;s better to just put it up are a fixed taste that it seems. But it just depends

Zulfiqar Ali · Answer

the root mean square current. I are a mess is equal to 9.0 ampere and then we have re armies through it means create will teach, which is equal to 100 Walt. And then if I, the fans angle will find is equal to minus ah, 37 0.0 degree and in part a Let&#x27;s find out power The power p is equal to i r M s times we r M s Times Co sign of Phi by substituting values 9.0 multiplied by one and bread multiply by co sign off minus 37.0 degrees. Therefore, power P is equal to 1.29 Multiply by 10 to the power tree Want right and no forward be is equal to I square RMS root mean square current times are and I square rms right now let us find out our well b is 1.29 multiply by 10 to the power three and high autumn issues nine screen multiply br And from here R is equal to 16.0 forms. And no, we do part b well din off a minus 37 point zero decrees is equal to XL minus exceeded body by 16. And from here, um, this implies state XL minus X E is equal to minus 12.0.

Problem

The relationship $V_{\mathrm{rms}}=V_{\max } / \s…

Problem 7 Easy Difficulty

Answer

a) 1.67 $\mathrm{kW}$
b) 0.923

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a) 1.67 $\mathrm{kW}$b) 0.923

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a) 1.67 $\mathrm{kW}$
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