0p=-n[p-p] cm=-n你-] VxH-j xE-品h何+网 MOS Equations B=(H+M)Magnetic flux density B has units of Teslas(1 Tesla =10,000 Gauss) 7.B=0 n[6-B]=0 VxE-_0B Γat vxH=j (total fiux) III.Magnetic Field Intensity along Axis of a Uniformly Magnetized Cylinder d/2 H: d/2 R Figure 9.3.1 (a)Cylinder of circular cross-section uniformly magnetized in the direction of its axis.(b)Axial distribution of scalar magnetic potential and(c)axial magnetic field intensity.For these distributions,the cylinder length is assumed to be equal to its diameter. 6.641,Electromagnetic Fields,Forces,and Motion Lecture 8 Prof.Markus Zahn Page 4 of 136.641, Electromagnetic Fields, Forces, and Motion Lecture 8 Prof. Markus Zahn Page 4 of 13 ( ) a b sm 0 =n M M ⎡ ⎤ σ −µ − ⎢ ⎥ ⎣ ⎦ i ∇ ×H=J ( ) ∂ ∇× − µ + ∂ E= H M 0 t MQS Equations B= H M µ + 0 ( ) Magnetic flux density B has units of Teslas (1 Tesla = 10,000 Gauss) ∇ = iB 0 a a n B B =0 ⎡ ⎤ − ⎢ ⎥ ⎣ ⎦ i B E = t ∂ ∇× − ∂ ∇ × H=J III. Magnetic Field Intensity along Axis of a Uniformly Magnetized Cylinder ⎡ ⎤ σ− − ⎢ ⎥ ⎣ ⎦ i a b sp =n P P λ λ ∫ i S d v = , = B da dt (total flux)