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EECE365Final - 2010

# EECE365Final - 2010 - Final UBC EECE 365 201 8:30 am...

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Final UBC EECE 365 - 201 April 25, 2010 8:30 am Instructor: Nathan Ozog Name: Student Number: Read all of the following information before starting the exam: The duration of this exam is 2.5 hours . Anyone caught copying or allowing someone to copy from them will be ejected from the exam. Circle or otherwise indicate your final answers. Assumptions presented in class shall be employed where appropriate. If you cannot determine numerical values that are required for a later question, you may show equations for marks. A 2-sided formula sheet on letter size paper is allowed. The grades are distributed as shown in the exam. Good luck! Question Points Score 1 11 2 5 3 12 4 6 5 9 6 6 7 14 8 12 9 10 10 15 Total: 100

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UBC EECE 365 Final Exam April 25, 2010 1. The magnetic circuit shown in Figure 1 has the parameters given Table 1. For this question assume a linear permeability and neglect the effects of fringing for the following: Figure 1: Magnetic Circuit < core 4x10 4 A · Turns Wb μ air = μ 0 4 π x 10 - 7 N A 2 x gap 0.001 m A gap 0.01 m 2 N turns 100 turns I dc 5 A Table 1: Electromagnet Parameters (a) (2) On Figure 1 draw the flux in the core, φ c , and the leakage flux, φ l . Assume the direction of current shown. (b) (2) Draw the magnetic circuit, accounting for leakage flux. (c) (2) Calculate the core flux, φ c , for the given current. Neglect leakage flux. (d) (2) Calculate the respective inductances of the air gap, L gap , and of the core, L core . (e) (3) Calculate the respective energies stored in the air gap, W gap , and the core, W core . Neglect leakage flux.
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UBC EECE 365 Final Exam April 25, 2010 2. For the electromagnet shown in Figure 2, assume a linear permeability and a total inductance of L ( x ) = 0 . 025 + 6 . 25 · 10 - 7 x 2 gap H.
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EECE365Final - 2010 - Final UBC EECE 365 201 8:30 am...

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