Electromagnetism

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Electromagnetism

concepts yet to include

...and more!

magnetic materials

diamagnetism

paramagnetism

ferromagnetism

dielectric constant

permittivity

susceptibility

Electrodynamics

as history progresses, understanding grows...

and electricity and magnetism are united by:

Maxwell's Equations

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

induced fields

Ampère's Law

Ampère's Circuital Law

(with Maxwell's correction)

Faraday's Law of induction

moving charges

acccelerating charges

Lorentz Force equation

radiation

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

electromagnetic waves

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

electric current (I)

UNITS: amperes (A)

electronic networks/circuits

Ohm's Law

Ohm's Law

V = IR

V is electric potential,

I is electric current,

R is electrical resistance.

resistance (R)

resistivity

ρ = static resistivity, aka specific electrical resistance

UNITS: ohm metres, Ωm

ρ = R * A / L

A is cross-sectional area (in m²)

L is length of specimen (in m)

and R is resistance of specimen (in Ω)

ρ = E / J

E is the magnitude of the electric field (in V/m)

J is the current density (in A/m²)

current density (J)

UNITS: A/m^2

Magnetostatics

constant magnetic fields

magnetic field (B)

UNITS: tesla (T)

also referred to as:

- magnetic flux density

- magnetic field density

- magnetic induction

Biot-Savart Law

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

magnetic flux (phi)

magnetic dipole

change in magnetic potential energy

torque

no magnetic monopoles

Electrostatics

constant electric fields

electric charge density (/rho)

Coulomb's Law - continuous case

Gauss' Law

electric dipole

electric dipole moment (qd)

electric charge (q)

UNITS: Coulombs (C)

Coulomb's Law - discrete case

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 field

UNITS: N/C or V/m

also seen it called "electric flux density"

electrical potential energy (U)

electric potential (V)

ABOUT THIS MAP

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.