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Answer by user100411 for Formula for discontinuity of electric field across...

I think the point is that the electric field contribution from the patch (which is the surface charge inside the Gaussian box) is the significant contributing one in the formula for the following...

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Answer by Sanya for Formula for discontinuity of electric field across boundary

Gauß law for electrodynamics states that$$\nabla \vec{E}= \frac{\rho}{\varepsilon_0} $$at any point and no matter by what the electric field $\vec{E}$ is produced. $\vec{E}$ here stands for the total...

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Formula for discontinuity of electric field across boundary

The formula for the discontinuity of the electric field across a boundary is given by$$\vec{E}_{\text{above}} - \vec{E}_{\text{below}} = \frac{\sigma}{\epsilon_0} \hat{n}.$$ In the derivation of this...

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