hw1 - with a radius of 0.03 m. The two ends are 2 m apart....

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EE321 Spring 10 Homework 1 Problem 1 – Review of line-integral and application to MMF drop. Consider a Cartesian co-ordinate system (x,y,z). Suppose a uniform H-field of 1 A/m exists in the direction of the x-axis. Calculate the MMF drop from the point (1,1,1) to the point (2,5,-1). Problem 2 – Review of line-integral and application to MMF drop. Consider a Cartesian co-ordinate system on a plane (the plane lines on the x- and y-axis). A current of 100 A is flowing up out of the plane at the origin. Find the MMF drop between the point x=1,y=0 and the point x=3, y=2. Problem 3 – Review of surface integral and definition of flux. Consider a Cartesian co-ordinate system (x,y,z). A uniform B-field of 1 T exists along the direction of the x-axis. Now consider the rectangular plane bounded by the points (1,0,0),(0,1,0),(0,1,1),(1,0,1). How much flux is traveling through the rectangular plane. Problem 4 – Review of surface integral, definition of flux, Gausses’ Law. Consider a cone shaped device with a large end with a radius of 0.1 m, and a small end
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Unformatted text preview: with a radius of 0.03 m. The two ends are 2 m apart. A flux of 3 mWb enters the large end. A flux of 2 mWb enters the solid through the side of the cone. The B-field leaving the small end of the cone exists in a direction normal to the small end of the cone and is uniform. What is the flux density leaving the small end ? Problem 5 – UI Inductor Analysis Consider the UI core shown on Slide 34/35 of your Lecture Set 1 lecture handouts. Consider the following parameters: 1 = w cm; 5 = s w cm; 2 = s d cm; 5 = d cm; 1 = g mm; 100 = N Suppose the material used is such that for a flux density less than 1.3 T (the saturation point), the magnetic material is linear and has a permeability 1500 times that of free space (i.e. a relative permeability of 1500). What current will result in a flux density of 1.3 T ? (In other words, if we call this the point of magnetic saturation, what current will saturate the core)...
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This note was uploaded on 04/08/2012 for the course ECE 321 taught by Professor Staff during the Spring '08 term at Purdue University.

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