Solution Manual for Photovoltaic Systems Engineering, 4th Edition

Solution Manual for Photovoltaic Systems Engineering, 4th Edition makes solving textbook exercises easier with step-by-step solutions and helpful tips.

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1Photovoltaic Systems Engineering, 4thEd.Chapter 1 Problem Solutions1.1Prove equation 1.5.Using (1.5) with N(n) = 2No, results in)i1ln(nooeNN2. Solving for n yields the resultiDin693.)1ln(2lnsince ln(1+i)i for small i.1.2Calculate the approximate and exact doubling times for annual percentage increases of 5%, 10%, 15% and20%.% Increase5101520Exact D14.2 yr7.27 yr4.96 yr3.80 yrApprox D14 yr7.00 yr4.67 yr3.50 yrApprox D/Exact D0.990.960.940.921.3The human population of the earth is approximately 7 billion and is increasing at approximately 2% per year.The diameter of the earth is approximately 8000 miles and the surface of the earth is approximately two-thirdswater. Calculate the population doubling time, then set up a spreadsheet that will show a) the population, b)the number of square feet of land area per person, and c) the length of the side of a square that will prod uce therequired area per person.Carry out the spreadsheet for 15 doubling times, assuming that the rate ofpopulation increase remains constant. What conclusions can you draw from this exercise?For 2% annual growth rate, the doubling time is 35 years.The total area of the earth is 4(4000 mi5280 ft/mi)2= 5.611015ft2.Hence, the land area of the earth is approximately 1.871015ft2. The following table results.# DoublingTimesYearPopulationLand Area/Person (ft^2)Length of side ofsquare/Person (ft)020177.00E+092.67E+05516.9120521.40E+101.34E+05365.5220872.80E+106.68E+04258.4321225.60E+103.34E+04182.7421571.12E+111.67E+04129.2521922.24E+118.35E+0391.4622274.48E+114.17E+0364.6722628.96E+112.09E+0345.7822971.79E+121.04E+0332.3923323.58E+125.22E+0222.81023677.17E+122.61E+0216.21124021.43E+131.30E+0211.41224372.87E+136.52E+018.11324725.73E+133.26E+015.71425071.15E+141.63E+014.01525422.29E+148.15E+002.9Conclusions: These are left up to the creative thought processes of the problem solver.1.4Show that in an exponential growth scenario, the amount accumulated in a doubling time equals the amountaccumulated in all previous history.

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