ELE637_Quiz_1_Solution.pdf - Ryerson University Department...

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Page# 1 out of 5 Ryerson University Department of Electrical, Computer, and Biomedical Engineering ELE637 (Energy Conversion) Quiz 1 (W2021) February 2021 Duration: 30 minutes Question Set A Name :…………………………………………………………………………………. [Print Last Name] [Print First Name] Student No :…………………………… The magnetic circuit of the following figure consists of two windings connected in series on a magnetic core of ferromagnetic material with two air gaps of lengths l g1 and l g2 and areas A g1 A g2 , respectively. Relative permeability, μ r , of the core magnetic material is 5000. Neglect fringing effects at the air gaps. a) Draw the detailed and simplified magnetic circuit equivalents of the structure (no numerical values) (11 marks) b) Find the current I that is required to establish a flux density of B g1 =1.0 T in Gap 1, if μ 0 4π×10 -7 H/m, N 1 = 300 , N 2 = 200, l g1 = 2.0 mm, l g2 = 1.0 mm, A g1 = 100 mm 2 , and 200 mm 2 (15 marks) c) Calculate flux density B g2 in Gap 2, for the condition of (b) (15 marks) and . = A g2 = . .

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