The purpose of this problem is to show that the work W needed to establish a final current If in an inductor is W = 1/2 LI2f (Equation 22.10). In Section 22.8 we saw that the amount of work ˆ†W needed to change the current through an inductor by an amount ˆ†I is ˆ†W = LI(ˆ†I), where L is the inductance. The drawing shows a graph of LI versus I. Notice that LI(ˆ†I) is the area of the shaded vertical rectangle whose height is LI and whose width is ˆ†I. Use this fact to show that the total work W needed to establish a current If is W = 1/2 LI2f.

Transcribed Image Text:

LIf LI 斤 AZ Current,