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exam1 - EE321 Exam 1 Spring 2009 Notes Write your name and...

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EE321 Exam 1 Spring 2009 Notes : Write your name and ID on blue book. This part of exam will be recycled. You must show work for credit, except for problem 6. Achieving a score of 60% or above on this exam satisfies ABET Objective 1 and Objective 2. Good luck !
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1.) 10 pts. Consider a Cartesian coordinate system. Suppose there exists a uniform H-field with a +10 A/m component in the x-direction, a +20 A/m component in the y-direction, and a -5 A/m component in the z-direction. What is the magneto motive force drop between the starting point (5,2,1) (x, y, z) and the ending point (4,2,4). For problems 2-3, consider the split toroid shown below. The cross section of the toroid is rectangular. 2.) 15 pts. The permeability of the magnetic material in the split toroid may be expressed 0 5000 ( ) 1 | | B B B μ μ = + where 0 μ is the permeability of free space, 7 10 4 - π H/m. Now suppose 1 g = mm, 10 r = cm, 1 w = cm, 2 d = cm, 1 100 N = , 2 20 N = , and 1 5 i = A. If the flux linking the second winding is 2 λ = 0.004 Vs, what is the current 2 i ?. Hint 200 100 2 < < i .
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