THE ARK OF MATHEMATICS PART 5: VECTOR CALCULUS FOR ELECTRICITY AND MAGNETISM by Chad Clawitter

Author:Chad Clawitter [Clawitter, Chad]
Language: eng
Format: azw3, pdf
Published: 2019-03-27T16:00:00+00:00

If a closed surface has a positive and a negative charge inside, there will be a positive flux going out of the surface near the positive charge and a negative flux going into the surface near the negative charge canceling out to have zero net flux over the entire closed surface.

The flux of the electric field through any closed surface is proportional to the electric charge inside. The divergence of the electric field is proportional to the charge density. Using the divergence theorem we can show that these two statements are equivalent.

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