Derive Boundary conditions of Electric field at the boundary of the dielectric media

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written 8.9 years ago by

teamques10 ★ 70k

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Tangential component: In order to derive boundary condition at current interface, we will apply ‘Ampere’s law’

$∮\bar{H}.d \bar{l}=I_{enclosed}=0 \\ ∫\bar{H}_{t1}.∆ \bar{w}+ ∫\bar{H}_{t2}.∆ \bar{L}+ \bar{H}_{t2}.∆ \bar{w}- \bar{H}_{t1}.∆ \bar{L}=0 \\ \bar{H}_{t1}.∆ \bar{w}=\bar{H}_{t2}.∆ \bar{w}=0 \\ ∫H_{t1}.∆ L= ∫H_{t2}.∆ L \\ \bar{H}_{t1}= \bar{H}_{t2}$

Normal components:

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For normal components use $∮\bar{B} .d \bar{s}= ∅$

$-∮B_{n1}.d …

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