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When we apply Gauss's law should we consider also the charge over the...

Lets say I have a coaxial cable, the internal material cylinder has radius $a$ and uniform volumetric charge density $\rho$, the external shield cylinder has radius $b$ and uniform superficial charge...

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Answer by freecharly for When we apply Gauss's law should we consider also...

Where to include a sheet charge 𝜎 of infinitesimal thickness at exactly r=b is not well defined. You can consider it as a delta function 𝜎·𝛿(r-b).Then the surface integral as a function of r gives you...

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Answer by Sanya for When we apply Gauss's law should we consider also the...

A surface charge induces a discontinuity in the electric field normal to the surface (see also this question). So at $r=b$, there are, so to speak, two field values, depending on which direction you...

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Answer by Zo the Relativist for When we apply Gauss's law should we consider...

The best way to understand this problem is to work out the solution in the case where the coaxial cable has a thickness $s$, and a volumetric charge density $\rho$.If you do this, you'll see the field...

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