EE_387_200809FA_homework_03

EE_387_200809FA_homework_03 - EE 387 Homework 03 Fall 2008...

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EE 387 Homework 03 Fall 2008 Due on Thur. Sept. 18 at the EE Homework Slot outside of 121 EE East before 4:30 p.m. 1. Consider an inductor constructed on the toroidal core shown to the right. The core parameter values are: , , and r i r o 35 mm r = 50 mm r = 1000 i o r = . μ a. Determine the reluctance of the core. b. Determine the number of winding turns, if the value of inductance is to be 10 mH. 2. Repeat Problem 1, if the core is cut to introduce a 1.5-mm gap. For Problems 3 and 4, consider the physical inductor shown to the right. Note that the turns shown in the depiction are merely intended to indicate the manner in which the winding is wound; the actual turns count is 100. Note too that the turns are omitted from the top, front, and side views so as not to interfere with dimensioning the core. l xo l z i l xo l xi l xi 3. In the “magnetic circuits” lecture notes, we derived the relationship between current and flux for a magnetic circuit. In some cases, however, the relationship between current and flux density is more useful.
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EE_387_200809FA_homework_03 - EE 387 Homework 03 Fall 2008...

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