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PROBLEM SOLUTIONS: Chapter 1
Problem 1.1 Part (a): Rc = Rg = part (b): ¥Õ= part (c): ¥ë = N ¥Õ = 1.016 ¡¿ 10?2 part (d): L= Problem 1.2 part (a): Rc = lc lc = = 1.591 ¡¿ 105 ¥ìAc ¥ìr ¥ì0 Ac g = 1.017 ¡¿ 106 ¥ì0 Ac A/Wb ¥ë = 6.775 mH I Wb NI = 1.224 ¡¿ 10?4 Rc + Rg Wb lc lc = =0 ¥ìAc ¥ìr ¥ì0 Ac g = 1.017 ¡¿ 106 ¥ì0 Ac A/Wb

A/Wb

Rg = part (b): ¥Õ= part (c):

A/Wb

NI = 1.059 ¡¿ 10?4 Rc + Rg

Wb

¥ë = N ¥Õ = 8.787 ¡¿ 10?3 part (d): L= ¥ë = 5.858 mH I

Wb

2 Problem 1.3 part (a): N= part (b): I= Problem 1.4 part (a): N= part (b): I= Problem 1.5 part (a): Bcore = 18.2 A ¥ì0 N/(g + lc ¥ì0 /¥ì) L(g + lc ¥ì0 /¥ì) = ¥ì0 Ac L(g + lc ¥ì0 /(¥ìr ¥ì0 )) = 121 turns ¥ì0 Ac Bcore = 16.6 A ¥ì0 N/g Lg = 110 turns ¥ì0 Ac

part (b): ¥ìr = 1 + 3499 1 + 0.047(2.2)7.8 g + ¥ì0 lc /¥ì ¥ì0 N = 730

I=B

= 65.8 A

3 part (c):

Problem 1.6 part (a): Hg = NI ; 2g Bc = Ag Ac Bg = Bg 1 ? x X0

part (b): Equations 2gHg + Hc lc = N I; and Bg = ¥ì0 Hg ; Bc = ¥ìHc ? NI
¥ì0 ¥ì

Bg A



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- ¿¡³ÊÁöº¯È¯°øÇÐ 2ÆÇ ¼Ö·ç¼Ç Principles of Electric Machines and Power Electronics 2nd Edition P. C. Sen John Wiley & Sons