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Gauss law can be evaluated in which coordinate system?

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in Electromagnetic Theory by (188k points)
Gauss law can be evaluated in which coordinate system?

(a) Cartesian

(b) Cylinder

(c) Spherical

(d) Depends on the Gaussian surface

I have been asked this question during an internship interview.

This intriguing question comes from Applications of Gauss Law in chapter Electrostatic Fields of Electromagnetic Theory

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Right option is (d) Depends on the Gaussian surface

The best I can explain: The Gauss law exists for all materials. Depending on the Gaussian surface of the material, we take the coordinate systems accordingly. Suppose if the material is a coaxial cable, the Gaussian surface is in the form of cylinder. Thus we take Cylinder/Circular coordinate system.

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