MIT6_013S09_pset03

MIT6_013S09_pset03 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.013 Electromagnetics and

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.013 – Electromagnetics and Applications Problem Set 3 (four problems) Suggested Reading: Course notes, Sections 3.1.3, 3.2, 5.1-5.2, 5.4, and 6.1-6.2 . Problem 3.1 Two parallel metal plates separated by d overlap a distance b and have width L; they are charged to a voltage V. (a) What is the force f [N] attracting the two plates in the y direction? (b) What is the force f // [N] attracting the two plates in the x direction? (c) Suppose we wish to design an electrostatic motor. To minimize losses associated with fringing fields the plate separation d should be less than ~ b/4 and L/4. To prevent arcing, the electric field strength E should be less than the air breakdown field strength E bd . Assume that practical considerations limit the maximum velocity of motor parts to about 100 m/s, or roughly one-third the velocity of sound, and limit the minimum plate separation to ~0.5 mm. Based on these constraints, what is roughly the maximum mechanical power P max [Watts] we can obtain from a cleverly designed
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This note was uploaded on 02/02/2012 for the course EE 013 taught by Professor Staelin during the Spring '09 term at MIT.

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MIT6_013S09_pset03 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.013 Electromagnetics and

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