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PROBLEM SOLUTIONS: Chapter 1
Problem 1.1 Part (a): Rc 〓 Rg 〓 part (b): Φ〓 part (c): λ 〓 N Φ 〓 1.016 × 10?2 part (d): L〓 Problem 1.2 part (a): Rc 〓 lc lc 〓 〓 1.591 × 105 μAc μr μ0 Ac g 〓 1.017 × 106 μ0 Ac A/Wb λ 〓 6.775 mH I Wb NI 〓 1.224 × 10?4 Rc + Rg Wb lc lc 〓 〓0 μAc μr μ0 Ac g 〓 1.017 × 106 μ0 Ac A/Wb
A/Wb
Rg 〓 part (b): Φ〓 part (c):
A/Wb
NI 〓 1.059 × 10?4 Rc + Rg
Wb
λ 〓 N Φ 〓 8.787 × 10?3 part (d): L〓 λ 〓 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 μ0 N/(g + lc μ0 /μ) L(g + lc μ0 /μ) 〓 μ0 Ac L(g + lc μ0 /(μr μ0 )) 〓 121 turns μ0 Ac Bcore 〓 16.6 A μ0 N/g Lg 〓 110 turns μ0 Ac
part (b): μr 〓 1 + 3499 1 + 0.047(2.2)7.8 g + μ0 lc /μ μ0 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 〓…