Solved: Solar Energy The amount of energy collected by a

Chapter , Problem 10.5.27

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Solar Energy The amount of energy collected by a solar panel depends on the intensity of the sun's rays and the area of the panel. Let the vector I represent the intensity, in watt per square centimeter, having the direction of the sun's rays. Let the vector A represent the area, in square centimeters, whose direction is the orientation of a solar panel. See the figure. The total number of watts collected by the panel is given by W = II AI. Suppose I = ( -0.02, -0.01) and A = (300, 400). (a) Find 11I11 and IIAII and interpret the meaning of each. (b) Compute W and interpret its meaning. (c) If the solar panel is to collect the maximum number of watts, what must be true about I and A?

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