question_answer

Directions: (26-30)

Gauss' Low and Its Significance

Gauss's law and Coulomb's law, although expressed in different forms, are equivalent ways of describing the relation between charge and electric field in static conditions. Gauss's law is \[{{\varepsilon }_{0}}\phi ={{q}_{encl}}\] when \[{{q}_{encl}}\] is the net charge inside an imaginary closed surface called Gaussian surface, \[\phi =\oint\limits_{{}}{\overrightarrow {E}}\,.\,d\overrightarrow{A}\] gives the electric flux through the Gaussian surface. The two equations hold only when the net charge is in vaccum or air.

If there is only one type of charge in the universe, then (\[\overrightarrow{E}\to \]Electric field, \[d\,\overrightarrow{s}\to \]Area vector)

A) \[\oint{\overrightarrow{E}}\,.\,d\,\overrightarrow{s}\ne \]on any surface

B) \[\oint{\overrightarrow{E}}\,.\,d\,\overrightarrow{s}\]could not be defined

C) \[\oint{\overrightarrow{E}}\,.\,d\,\overrightarrow{s}=\infty \]if charge is inside

D) \[\oint{\overrightarrow{E}}\,.\,d\,\overrightarrow{s}=0\] if charge is outside, \[\oint{\overrightarrow{E}}\,.\,d\,\overrightarrow{s}=\frac{q}{{{\varepsilon }_{0}}}\]if charge is inside.