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An isolated positive point charge q is enclosed inside a number of different \"G

ID: 2273577 • Letter: A

Question

An isolated positive point charge q is enclosed inside a number of different "Gaussian surfaces." Which of the following surfaces will experience the greatest net flux?

A small spherical surface.

A large spherical surface.

A very small cube.

All surfaces will experience the same net flux.

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I plan to use Gauss' Law to calculate the electric field measured at some distance r away from an infinitely long line of charge. Which "Gaussian surface" will exploit the symmetry of this distribution, greatly simplifying my efforts?

A sphere of radius r.

A cylinder of radius r.

A rectangular prism with cross-sectional area of r-squared, alligned along the axis of charge.

All of these surfaces will be equally challenging.

A small spherical surface.

A large spherical surface.

A very small cube.

All surfaces will experience the same net flux.

An isolated positive point charge q is enclosed inside a number of different "Gaussian surfaces." Which of the following surfaces will experience the greatest net flux?

Explanation / Answer

1) All surfaces will experience the same net flux.
   Reason: flux depends only on amount of charge enclosed and not the geometry.


2) A cylinder of radius r.
    On cylindrical surface, teh long line of charge will act as common axis.

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