The purpose of this problem is to show that the work W

Chapter , Problem 80

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The purpose of this problem is to show that the work W needed to establish a fi nal current If in an inductor is W 5 1 2 LI 2 f (Equation 22.10). In Section 22.8 we saw that the amount of work DW needed to change the current through an inductor by an amount DI is DW 5 LI(DI), where L is the inductance. The drawing shows a graph of LI versus I. Notice that LI(DI) is the area of the shaded vertical rectangle whose height is LI and whose width is DI. Use this fact to show that the total work W needed to establish a current If is W 5 1 2 LI 2 f .

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