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hw4 - quiver(2 Find magnetic vector potential A on the...

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Department of Electrical Engineering and Computer Science EEL 3470 Electromagnetic Fields Homework Set No. 4 Please turn in your answers, MatLab files and results. Each group should turn in ONLY one set of homework. Print this page and write your answers. After that, attach your MatLab files and results. Names: __________________ ___________________ ___________________ Problem 1. Lonngren 3.3.5 Note: (1) There is a typo in the figure. “ r ” should be “”; (2) ex401.m can help you. You will integrate from to for . (3) I used MatLab function “simple” three times to shorten the answer and I can exactly the same results as given in the textbook. Answer: Problem 2. A line current I flows along an elliptical ring located in the xoy plane. If we put thumb in the z direction, current will follow right-hand rule to flow. The elliptical equation is given as . Let a = 1, b = 0.75, A. (1) Find magnetic flux density B on yoz plane defined by [y,z] = meshgrid(-2:0.5:2, -2:0.5:2) and plot using
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Unformatted text preview: quiver . (2) Find magnetic vector potential A on the plane parallel to xoy plane with z = 1. The mesh is defined by [x,y] = meshgrid(-2:0.5:2, -2:0.5:2). Plot A using quiver . (Note: let so that ) Answer: Problem 3. A line current I flows along a straight line from P(3,2,1) to Q(1,2,6). I is A. Find magnetic flux density B from Biot-Savart’s Law at point P(3,4,5). Also find magnetic vector potential A at this point. Note: the equation of the line from P to Q can be described by: where L is the total length of the line and l is the distance along the line from point P. Answer: Problem 4. Lonngren 3.3.8 Answer: Problem 5. Find magnetic flux density B for infinite surface current on xoy plane with density using Biot savart’s Law. Answer: Problem 6. Lonngren 3.2.5; Given a = 1, A/m 2 , plot B from 0 to 10a. Answer: Problem 7. Lonngren 3.4.1 Answer: Problem 8. Lonngren 3.7.1 Answer:...
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