# hw2[1] - ECE 321 Homework Set 2 Due Mon. Sept. 13 Work on...

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1. Winding 1 has turns and winding 2 has turns. . Neglect leakage induc- tances and assume variations are sinusoidal. (a) (b) (c) 2. Winding 1 has turns. , . Neglect leakage induc- tance. (a) (b) If and . Express . Neglect resistance. For what combinations of and will have a nonzero average value. 3. Suppose for a 2-winding device, , , and . Let , , and . At what value or values of is the steady-state a sinusoidal function of time with the same frequency as the current ? For this (these) value(s) of , express (steady-state ). Neglect resistances. a’ a f f’ θ r 100 50 m 2000 H 1 = L aa θ r () ___ ___ ? H cos + = L af θ r ___ ___ ? H cos + = L ff θ r ___ ___ ? H cos + = a’ a θ r 100 m max , 1000 H 1 = m min , 500 H 1 = L θ r ___ ___ ? H cos + = i a 2 ω e t cos = θ r ω r t = v a ω e ω r p a v a i a = L 11 2 mH = L 22 1 mH = L 12 0.5 θ r sin mH = i 2 1 A = i 1 3 ω e t cos A = θ r 50 t = ω e v 1 i 1 ω e V

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## This note was uploaded on 11/29/2010 for the course ECE 321 taught by Professor Staff during the Spring '08 term at Purdue University.

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hw2[1] - ECE 321 Homework Set 2 Due Mon. Sept. 13 Work on...

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