(adsbygoogle = window.adsbygoogle || []).push({}); 1. Hi i need help with this question,

Show, using maxwell's equations as a starting point, that the discontinuity in the component of the electric displacement normal to a boundary between different media is equal to the free surface charge density on a boundary.

i have tried by using the integral form and integrating over a cylindrical pill box (define top lid= A1, bottom lid = A2 cylinder wall = A3) to on the surface (a flat plane with constant charge density)

[tex]\ointE. dA[/tex] = [tex]\int[/tex]E. dA1+ [tex]\int[/tex]E. dA2+ [tex]\int[/tex]E. dA3

last integral is zero as the electric field is perpendicular to the area

but i am not sure as to whether i can re-use maxwell's equations as an expression for the electric field that doesn't seem rigorous and

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# Homework Help: Dicontinuity of electric displacement normal to a boundary

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