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B.Magnetization force Fx Ho (M.V)Hx =0 z 7×H=j=0→=a ay Ox B=明=h佰+网==(片-1 E=[能-農+货,袋 =供-[2w+ f=[F dx dy dz -但2212+)axyz X=-y=0Z=0 s,儿 2 =-)dN吧 2。 -u-)a 6.641,Electromagnetic Fields,Forces,and Motion Lecture 13 Prof.Markus Zahn Page 8 of 146.641, Electromagnetic Fields, Forces, and Motion Lecture 13 Prof. Markus Zahn Page 8 of 14 B. Magnetization force F= M H X0 x µ ∇ ( ) i xxx 0x y z HHH =M M M xyz ⎡ ⎤ ∂∂∂ µ ++ ⎢ ⎥ ⎣ ⎦ ∂∂∂ = 0 z ∂ ∂ ∂ ∂ ∇× ⇒ ∂ ∂ Hx Hy H= J=0 = y x x y X 0x y H H F= M M x x ⎡ ⎤ ∂ ∂ µ + ⎢ ⎥ ∂ ∂ ⎣ ⎦ ( ) ⎛ ⎞ µ µ µ +⇒ − ⎜ ⎟ ⎝ ⎠ µ 0 0 B= H= H M M= 1 H x y x0 x y 0 0 H H F= 1H 1H x x ⎡ ⎤ ⎛⎞ ⎛⎞ µ µ ∂ ∂ µ − +− ⎢ ⎥ ⎜⎟ ⎜⎟ µ ∂µ ∂ ⎣ ⎦ ⎝⎠ ⎝⎠ ( ) 2 2 0 xy 0 1 = 1 HH x 2 ⎛ ⎞ µ ∂ ⎡ ⎤ µ− + ⎜ ⎟ ⎢ ⎥ ⎝ ⎠ µ ∂ ⎣ ⎦ x x f = F dx dy dz ∫ ( ) ( ) h sd 0 2 2 x y x y 0z 0 = H H dx dy dz 2 x =−∞ = = µ−µ ∂ + ∂ ∫ ∫∫ ( ) ( ) =−∞ µ−µ + h 0 2 2 x y x = ds H H 2 (µ−µ0 ) = ds 2 2 2 2 N i s ( ) µ−µ 2 2 0 1 Ni = d 2 s
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