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In words, what does Gauss’ Law for Electricity state? In what situations is Gauss’ Law for...

In words, what does Gauss’ Law for Electricity state?

In what situations is Gauss’ Law for Electricity useful? Why is it not useful in some situations?

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Answer #1

Gauss's law is always true (that is, numerically), but it's not always useful for calculating electric fields. It's only useful for calculating a charge distribution's electric field when certain symmetries (e.g. cylindrical, spherical, or planar) are present that allow the surface integral to be done very simply. It is not useful for calculating electric fields when these symmetries are not present in a problem.

Gauss's Law

The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.

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