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Question

Gauss's law can help in the easy calculation of electric field due to:

A
moving charge only.
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B
any charge configuration.
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C
any symmetrical charge configuration.
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D
some special symmetric charge configurations.
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Solution

The correct option is D some special symmetric charge configurations.
Gauss' law becomes highly useful in the easy calculation of electric field due to a charge configuration, when the distribution is symmetrical and E is normal to the chosen surface such that,
EdS=E dScos0

EdS=EdS=ES

(since E is radially outwards and parallel to the area vector)

Symmetric charge distributions where electric field is parallel to the area vector are preferred for applying Gauss' law i.e. sphere, cube, cylinder, etc.

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