3-Assignment3_Solution

3-Assignment3_Solution - ELECTRICAL ENGINEERING DEPARTMENT...

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ELECTRICAL ENGINEERING DEPARTMENT CALIFORNIA POLYTECHNIC STATE UNIVERSITY EE 255 Assignment #3 Problem 1: The magnetic core shown in the figure has the following parameters: . 60 , 5000 turns, 1000 N , cm 25 A , cm 10 r 2 c Hz andf l c = = = = = μ For a current of A ) cos( 5 ) ( t t i ϖ = , determine: (a) Flux in the core, (b) Flux linkage, (c) Inductance, and (d) Induced voltage. ) ( t i N - + ) ( t e Solution: a) Flux: wb t KA A l C / . * . * * * * - = = = - - - 37 6 10 5 2 10 4 5000 10 10 R 4 7 2 C π wb t t R t Ni t C C ) cos( . * . ) cos( * ) ( ) ( ϕ 785 0 10 37 6 5 1000 3 = = = b) Flux linkage: t wb t t t N t C - = = = ) cos( ) cos( . * ) ( ) ( λ 785 785 0 1000 c) Inductance: H 157 5 785 = = = ) cos( ) cos( ) ( ) ( t t t i t L d) Induced voltage: V 785 ) sin( ) ( ) ( t dt t d t e - = = rad/s 377 60 2 2 = = = * f KV 90 296 377 785 ) cos( ) sin( * ) ( ° + = - = t t t e KV 90 296 ° = rms E
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Problem 2: A 3 KVA, 480:240-V, 60-Hz single-phase ideal transformer is supplying a load impedance of 15 + j20 at 240 V. Determine the load current, source current and the impedance seen by the source. 1
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3-Assignment3_Solution - ELECTRICAL ENGINEERING DEPARTMENT...

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