Proof of Gauss's Law

IN PROGRESS claimed by sfelts3

Short Description of Topic

There are 4 main components to Gauss's Law: 1) that the electric field is proportional with the inside charge by a constant of (1/e(not)) 2) The size and the shape of the surface that you choose to enclose the charge do not affect Guass's Law. 3) Gauss's law works for any number of point charges within the closed surface. 4) Any charges that are found outside of the closed surface do not contribute to the net flux.

Contents [hide] 1 The Main Idea 1.1 A Mathematical Model 1.2 A Computational Model 2 Examples 2.1 Simple 2.2 Middling 2.3 Difficult 3 Connectedness 4 History 5 See also 5.1 Further reading 5.2 External links 6 References The Main Idea[edit] Gauss's law works backwards into finding out what charge is present inside a 3d surface, by looking at the pattern of the electric field. The properties of Gauss's law can be confirmed through the following proofs and examples.

We know that the formula for Gauss's law is the sum of the Electric field (perpendicular to the surface) multiplied by the area of the surface is equal to the total inside charge times 1/e(not).

The constant e(not) can be confirmed by an experiment. When you choose to enclose a point charge by a sphere, the electric field is uniform around the entire surface of the sphere (assuming the point charge is in the center of the sphere). The electric field is also perpendicular at every point of the sphere because a point charge has an electric field pointing away from the charge in every direction (if it is positive). So the total electric flux is equal to

A Computational Model[edit] How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples[edit] Be sure to show all steps in your solution and include diagrams whenever possible

Simple[edit] Middling[edit] Difficult[edit] Connectedness[edit] How is this topic connected to something that you are interested in? How is it connected to your major? Is there an interesting industrial application? History[edit] Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

See also[edit] Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

Further reading[edit] Books, Articles or other print media on this topic

External links[edit] [1]

References[edit] This section contains the the references you used while writing this page

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