lecture 35

lecture 35 - Class as usual 11/15 11/17 and 11/19(M W and F...

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1 1 Class as usual, 11/15, 11/17 and 11/19, (M, W and F) No class on 11/22 (Monday before Thanksgiving) HW #11 is due 11/15/2010 (Monday) Test #3 Nov. 18, 2010, Thursday, 6:30 - 7:30 PM, PHYS 112 No calculator, no electronic device and no formula sheet Tables 12.1 and 12.2 will be handed out with the test. Material covered: Up to and include Lecture 36 (Wednesday’s lecture) Ch. 16, 17 and 19, HW # 8, 9, 10 and 11 A seating chart will be posted in 202 Help Room (MSEE 180) and on my office door (MSEE 262) by 11/18/2010 noon. You have to sit in the assigned seat. Pictures will be taken during the test. Bring PU ID or Photo ID 8 to 12 MC questions and 1 to 2 WO questions. Turn in the scantron sheet and the test packet. Summary of Lecture #35 11/15/2010 M 2 L 1 L 2 from energy consideration Coupljng coefficient k Equivalent T and Π circuits Ideal transformers Unity coupling coefficient ( k = 1 ) Infinite self and mutual inductance Basic properties of ideal transformers Voltage ratio Current ratio Impedance Transformation Examples 2 M 12 = M 21 = M ≤ √ L 1 L 2 from energy consideration Passivity principle of inductors (pp.911-913) Initial currents: i 1 (0) = i 2 (0) = 0 . No energy is stored in coils at t = 0 . Final currents: i 1 (T) = I 1 , i 2 (T) = I 2 . Total energy stored in two coils at T is ] L ) I / I ( M 2 ) I / I ( L [ I 5 . 0 ) I L I MI 2 I L ( 5 . 0 dt )} ' i L ' i M ( i ) ' i M ' i L ( i { dt )) t ( v ) t ( i ) t ( v ) t ( i ( ) T ( w 2 2 1 2 2 2 1 1 2 2 2 2 2 2 1 2 1 1 2 2 1 1 2 2 2 12 1 1 1 T 0 2 2 1 1 T 0 + ± = + ± = + ± + ± = + = 1 2 1 2 di di i ' , i ' dt dt = = Plot w(T) as a function of I 1 / I 2 .

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