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2010Spring_mid3

# 2010Spring_mid3 - The linear machine shown in the above...

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EEL3470 Exam 3 Apr. 6, 2010 Open Book, Open Notes Name__________________________ 1. (14 points) A parallel plate capacitor is filled with a nonuniform dielectric characterized by . Assume the area of each plate is 10 m 2 and the separation between the two plates is 1 meter (or: one plate is at x = 0, and the other is at x=1). Assume V(0) = 0, and V(1) = 5 volts. Through solving Laplace equation, find: (1) the potential distribution between two plates; (2) the capacitance between two plates. 2. (15 points) A line current I flows along x axis from A(-2,0,0) to B(3,0,0). I is 1 A. Find: (1) magnetic flux density B from Biot-Savart’s Law at point P(5,-4,-7); (2) magnetic vector potential A at this point. 3. (21 points, 7 points each)
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Unformatted text preview: The linear machine shown in the above figure has the following characteristics: B = 0.5 T into page, R=0.5 Ω, l = 1m, V B =100V. At t=0, close the switch. (1)What is the steady state velocity at no load? How much is the current at steady state? (2)Suppose there is a 50N force pointing to the left from the load. What’s the steady state velocity? How much is the current at steady state? (3)Suppose a 100N force pointing to the right is applied to the bar. There is also a 50N force pointing to the left from the load. What’s the steady state velocity? How much is the current at steady state? Answer: 1 (1) (2) 2 (1) (2) 3 (1) (2) (3) MatLab Program (Optional for partial credits)...
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