IV.Lifting of Magnetic Fluid i(t) →∞ o Depth d A magnetizable liquid is pushed upward into the field region between the pole faces by the forces on magnetic dipoles in the fringing region at the bottom. A.Energy Method Approach H=Ni Φ=H[μg+μo0-)]d =9[贱+，0-5明 =No=g2[g+0- L同=子=9[5+0- 专=吃登-9e-w) .gndd(w) -i时 6.641,Electromagnetic Fields,Forces,and Motion Lecture 13 Prof.Markus Zahn Page 7 of 146.641, Electromagnetic Fields, Forces, and Motion Lecture 13 Prof. Markus Zahn Page 7 of 14 IV. Lifting of Magnetic Fluid A. Energy Method Approach Φ µξ + µ − ξ =H l d ⎡ ⎤ 0 ( ) ⎣ ⎦ ⎡ ⎤ µξ + µ − ξ ( ) ⎣ ⎦ 0 Nd = li s λ Φ µξ + µ − ξ ⎡ ⎤ ( ) ⎣ ⎦ 2 0 N d =N = l i s ( ) ( ) λ ξ µ⎡ ⎤ ξ + µ − ξ ⎣ ⎦ 2 0 N d L == l i s ξ ( ) µ − µ ξ 2 2 2 0 1 dL 1 N i d f= i = 2d 2 s ξ ρ ( ) µ−µ 2 2 m 0 1N i d f = ghds = 2 s 2 2 1 Ni d h = 2 ρ 2 s gd m ( ) µ−µ0 Ni H = s