Gauss's Theorem

Area

Question 1

Area is a Vector quantity and its directed to the outward normal

Question 2

Electric flux is a Vector quantity

Gaussian Surface

Gaussian surface is surface.

It can have size or shape.

Gaussian surface must be

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Definition of Gauss Law

The integral of the electric field over a surface is 1/ε times the net by the surface.

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Uniformly charged infinitely long staright conductor

Question

For a Cylindrical Gaussian surface with infinitely long uniformly charged conductor at the axis,

Answers

End faces contribute no electric flux

End faces contribute net electric flux

Curved face contributes no electric flux

Curved face contributes net electric flux

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Infinite plane sheet of uniformly charged conductor

Question

For a rectangular Gaussian Surface, which is perpendicular to the infinite plane sheet of uniformly charged conductor, at the end faces ......

Answers

Electric field is perpendicular to area vector hence no electric flux linked

Electric field is perpendicular to area vector hence contribute electric flux

Electric field is parallel to area vector hence contribute electric flux

Electric field is parallel to area vector hence no electric flux linked

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