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3.Normal H ∮,H.a=0 (a) Area A Ho (Han -Hpn)A =0 Han Hon n[。-i]=0 (b) Hb 4.Tangential H .ds=ja+品,E. Ha (a) Hptds-Hatds=Kds n Hpt Hat =K ds Surface current K out nx[i。-H。]=K of page (amp/meter) (b) 5.Conservation of Charge Boundary Condition (a) 个方 ∮j.a+paw=0 dt (b) n[。-j]+0,=0 6.641,Electromagnetic Fields,Forces,and Motion Lecture 3 Prof.Markus Zahn Page 6 of 126.641, Electromagnetic Fields, Forces, and Motion Lecture 3 Prof. Markus Zahn Page 6 of 12 3. Normal H 0 S µ H da = 0 ∫ i v µ0 an bn (H -H A 0 ) = H =H an bn n H - H = 0 a b ⎡ ⎤ ⎣ ⎦ i 4. Tangential H 0 CS S d H ds = J da E da dt + ε ∫∫ ∫ ii i v H ds - H ds = Kds bt at H -H =K bt at n × H - H = K a b ⎡ ⎤ ⎣ ⎦ 5. Conservation of Charge Boundary Condition S V d J da + dV = 0 dt ρ ∫ ∫ i v n J - J + = 0 a b s t ∂ ⎡ ⎤ ⎣ ⎦ ∂ i σ
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