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1-Assignment 1_Solution

# 1-Assignment 1_Solution - ELECTRICAL ENGINEERING DEPARTMENT...

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ELECTRICAL ENGINEERING DEPARTMENT California Polytechnic State University EE 255 Assignment #1 Solution Problem 1: In the magnetic circuit shown in the figure the depth of the core is 5 cm. The winding has 1000 turns and the relative permeability of the core is 2000. Determine the current for a flux in the core of 2.5mweb. A l R μ = cm 120 2 10 20 2 10 4 = + + = ) ( l 2 cm 50 5 10 = = * A H/m 10 4 2000 7 - = π μ ) ( At/wb K 5 95 10 50 10 4 2000 12 0 4 7 . ) * )( * ( . = = - - π R A 24 0 1000 10 5 95 10 5 2 3 3 . ) * . )( * . ( = = = - N R i φ cm 10 cm 10 cm 10 cm 20 cm 10 cm 20 I N

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Problem 2 Consider the magnetic core shown in the figure and notice that three sides of the core are of uniform width, whereas the forth side is somewhat thinner. The depth of the core into the page is 10 cm. The coil has 300 turns and the relative permeability of the core is 5000. Determine the flux in the core for a current of 2.5A. 1 R 2 R φ - + Ni wb KAt A l R / . ) * * )( * * ( * ) ( ) ( 5 13 10 10 10 10 4 5000 10 2 10 20 2 10 2 10 20 2 5 2 4 7 2 1 1 1 = + + + + + = = - - - π μ wb KAt A l R / . ) * * )( * * ( * 55 9 10 10 5 10 4 5000 10 30 4 7 2 2 2 2 = = = - - - π μ mwb 5 32 10 55 9 5 13 5 2 300 3 2 1 . * ) . . ( . * = + = + = R R Ni φ Problem 3 cm 10 cm 10 cm 10 cm 20 cm 5 cm 20 I
The magnetic core shown in the figure is made of two types of magnetic materials. The right leg has a relative permeability of 2000 while the rest of the

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1-Assignment 1_Solution - ELECTRICAL ENGINEERING DEPARTMENT...

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