Electromagnetism

ABOUT THIS MAP

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This mind map is a work in progress. Its purpose is to cover all of the undergraduate university level studies in electromagnetism, with only brief references to optics and solid state physics.Any comments, thoughts, or questions regarding this map may be directed to:crystal "dot" 37 "at" gmail "dot" com.

Electrostatics

constant electric fields

electric charge (q)

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UNITS: Coulombs (C)

electric field

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UNITS: N/C or V/malso seen it called "electric flux density"

electric potential (V)

electrical potential energy (U)

Coulomb's Law - discrete case

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The direction of the force on charge 1 due to charge 2 is along the unit vector r21.If the charges have the same sign, then q1q2 is positive and thus the force on 1 is positive (repelling it).If the charges have opposite signs, then q1q2 is negative and thus the force on 1 is negative (attracting it).

electric dipole

electric dipole moment (qd)

electric charge density (/rho)

Gauss' Law

Coulomb's Law - continuous case

Magnetostatics

constant magnetic fields

no magnetic monopoles

magnetic dipole

torque

change in magnetic potential energy

magnetic field (B)

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UNITS: tesla (T)also referred to as:- magnetic flux density- magnetic field density- magnetic induction

magnetic flux (phi)

Biot-Savart Law

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"The Biot-Savart law is as fundamental to electromagnetism as

Electrodynamics

moving charges

electric current (I)

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UNITS: amperes (A)

current density (J)

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UNITS: A/m^2

Ohm's Law

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Ohm's LawV = IRV is electric potential,I is electric current,R is electrical resistance.

resistance (R)

resistivity

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ρ = static resistivity, aka specific electrical resistanceUNITS: ohm metres, Ωmρ = R * A / LA is cross-sectional area (in m²)L is length of specimen (in m)and R is resistance of specimen (in Ω)ρ = E / JE is the magnitude of the electric field (in V/m)J is the current density (in A/m²)

electronic networks/circuits

acccelerating charges

radiation

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Any electric charge which accelerates, or any changing magnetic field, produces electromagnetic radiation.

electromagnetic waves

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This is a BIG topic... there is a lot that needs to be expanded upon here.

Lorentz Force equation

induced fields

Faraday's Law of induction

Ampère's Law

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Ampère's Circuital Law(with Maxwell's correction)

as history progresses, understanding grows...

and electricity and magnetism are united by:

Maxwell's Equations

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Maxwell's equations link together the concepts of electric field E, magnetic field B, electric charge density ρ, and electric current I.

concepts yet to include

susceptibility

permittivity

dielectric constant

magnetic materials

ferromagnetism

paramagnetism

diamagnetism

...and more!