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Question

Which of the following statements is not true about Gauss's law?

A
Gauss's law is true for any closed surface
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B
The term q on the right side of Gauss's law includes the sum of all charges enclosed by the surface
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C
Gauss's law is not much useful in calculating electrostatic field when the system has some symmetry
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D
Guss's law is based on the inverse square dependence on distance contained in the coulomb's law
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Solution

The correct option is B Gauss's law is not much useful in calculating electrostatic field when the system has some symmetry
Gauss's law is often useful towards a much easier calculating of electrostatic field when the system has some symmetry. This is facilitated by the choice of a suitable Gaussian surface.

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