H.di=H,2xr=NiH=2r2R NiNi D*B元w2 4 入=N2D=N2B元w 4 N2 N 0000000 R1 R Figure 9.4.3 Demonstration in which the B-H curve is traced out in the sinusoidal steady state. Courtesy of Hermann A.Haus and James R.Melcher.Used with permission. V=1R1=R H,2πR N (V=Horizontal voltage to oscilloscope) -盘=，R+义=V+R,C0 dt rR》。=0R,C张a=RG (V=Vertical voltage to oscilloscope) s TW2 4-N2B 1元w2 V.=R2Cz4-N,B 6.641,Electromagnetic Fields,Forces,and Motion Lecture 8 Prof.Markus Zahn Page 7 of 136.641, Electromagnetic Fields, Forces, and Motion Lecture 8 Prof. Markus Zahn Page 7 of 13 φ φ π⇒ ≈ π π ∫ i v 1 1 1 C Ni Ni H dl = H 2 r = N i H = 2r 2R Courtesy of Hermann A. Haus and James R. Melcher. Used with permission. ( ) φ π H 11 1 H 1 H2 R V = i R = R V =Horizontal voltage to oscilloscope N 2 v 2 2 2v v2 2 d dV v = =i R V =V R C dt dt λ + + If ( ) 2 v 2 2 2 2 2 2 v v 2 1 d dV R R C = R C V V =Vertical voltage to oscilloscope C dt dt λ >> ⇒ ≈ ⇒ λ ω π Φ ≈ 2 w B 4 π λ Φ 2 2 2 w =N =N B 4 π 2 2 w = N 4 B π v 2 1 w V = N B RC 4 2 2 2 Vv V2 VH N1 R1 R2 i1 i2 N2 C2 - - + + + -