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Title: UNOPAR Electrodynamics Coulomb's Law and Electric Field Summary
Description: Summary about Electromagnetism. Subjects: Coulomb’s Law for Point Charges, Electric Field, Electrostatic Fields, Potential Function and Gauss’ Law.
Description: Summary about Electromagnetism. Subjects: Coulomb’s Law for Point Charges, Electric Field, Electrostatic Fields, Potential Function and Gauss’ Law.
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UNOPAR Electrodynamics Coulomb's Law and Electric Field Summary
Coulomb’s Law for Point Charges
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Image representation:
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Formula, where k is a constant with value of 8
...
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Permittivity:
Of free space:
If a dielectric material is present:
For k, we have its value as 1 in the vacuum and 1
...
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Coulomb’s Law Vector Form:
For n charges the formula can be deduced as:
Electric Field
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Mathematical Representation:
Due to the Electric Field being considered an three-dimensional vector field, it
may be represented this way:
Its definition says it is the limit of the force on a point charge q (that goes to
zero), divided by the point charge
...
It is always good to remember that Electric Fields can not only be
represented by abstract mathematical equations, but also using points
of charge
...
Potential Function
“Potential is the work per charge, an intrinsic property of the fields”
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If we differentiate both sides:
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Using Gauss’ Law:
Flux
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Total amount of Field that passes through a surface
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“Flows out”: Charge is positive
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Surfaces
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When talking about space, it is a shell placed around a region
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Gauss’ Law
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For Electric Fields with zero charge:
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Inside the surface, we use spherical coordinates to denote the sphere
...
Title: UNOPAR Electrodynamics Coulomb's Law and Electric Field Summary
Description: Summary about Electromagnetism. Subjects: Coulomb’s Law for Point Charges, Electric Field, Electrostatic Fields, Potential Function and Gauss’ Law.
Description: Summary about Electromagnetism. Subjects: Coulomb’s Law for Point Charges, Electric Field, Electrostatic Fields, Potential Function and Gauss’ Law.