2-Assignment 2_Solution

2-Assignment 2_Solution - ELECTRICAL ENGINEERING DEPARTMENT...

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Unformatted text preview: ELECTRICAL ENGINEERING DEPARTMENT CALIFORNIA POLYTECHNIC STATE UNIVERSITY EE 255 Assignment #2 Solution Problem 1: Consider the magnetic core shown in the figure. The depth of the core into the page is 5 cm. One coil has a 1000 turns and 1 A current, while the other coil has 2000 turns and 2 A current. The relative permeability of the core is 3000. Determine the flux density in the right, center, and left sections of the core. cm 10 cm 10 cm 10 cm 20 cm 10 cm 20 cm 20 cm 10 turns 1000 cm 25 . L R C R- + At 1000 L φ R R At 4000 R φ C φ g R wb KAt R R R L / . 75 47 = = wb KAt R C / . 92 15 = wb KAt R g / . * * . * * * . 94 378 10 50 05 1 10 4 10 25 4 7 2 = =--- π mesh R φ KVL 4000 = +- + + L C g R C g R R R R R R φ φ ) ( ) ( (1) 4 86 394 6 442 =- L R φ φ . . mesh L φ KVL (2) 1 6 442 86 394 = +- L R φ φ . . = - 1 4 442.6 394.86- 86 394 6 442 L R φ φ . . mwb R 54 39980 26 2165 442.6 394.86- 86 394 6 442 442.6 394.86- 1 4 = =- = ....
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2-Assignment 2_Solution - ELECTRICAL ENGINEERING DEPARTMENT...

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