List of electromagnetism equations

This article summarizes equations in the theory of electromagnetism.

Here subscripts e and m are used to differ between electric and magnetic charges.

The definitions for monopoles are of theoretical interest, although real magnetic dipoles can be described using pole strengths.

There are two possible units for monopole strength, Wb (Weber) and A m (Ampere metre).

Dimensional analysis shows that magnetic charges relate by qm(Wb) = μ0 qm(Am).

[I][L] (Am) Contrary to the strong analogy between (classical) gravitation and electrostatics, there are no "centre of charge" or "centre of electrostatic attraction" analogues.

[citation needed] Electric transport

V = voltage, not volume.

Electric fields a = charge separation directed from -ve to +ve charge Theoretical:

(Earth's radius) Magnetic transport

A m(−n + 1), n = 1, 2, 3 [I][L] (Am) A m s−1 [I][L][T]−1 (Am) A m−1 s−1 [I][L]−1[T]−1 (Am) Magnetic fields Two definitions are possible: using pole strengths,

a = pole separation N is the number of turns of conductor most common:

1,2 subscripts refer to two conductors/inductors mutually inducing voltage/ linking magnetic flux through each other.

They can be interchanged for the required conductor/inductor;

DC circuits, general definitions Power Supply AC circuits

N = number of turns of conductor General Classical Equations

General classical equations

Below N = number of conductors or circuit components.

Subscript net refers to the equivalent and resultant property value.

Inductor current rise

Inductor current fall

Circuit resonant frequency

{\displaystyle \omega _{\mathrm {res} }={1 \over {\sqrt {LC}}}\,\!}

cos ⁡ ( ω t + ϕ )

Circuit current

sin ⁡ ( ω t + ϕ )

Circuit electrical potential energy

⁡ ( ω t + ϕ )

Circuit magnetic potential energy

⁡ ( ω t + ϕ )

Lorentz force on a charged particle (of charge q ) in motion (velocity v ), used as the definition of the E field and B field .
Continuous charge distribution. The volume charge density ρ is the amount of charge per unit volume (cube), surface charge density σ is amount per unit surface area (circle) with outward unit normal , d is the dipole moment between two point charges, the volume density of these is the polarization density P . Position vector r is a point to calculate the electric field; r′ is a point in the charged object.
Summary of electrostatic relations between electric potential, electric field and charge density. Here, .
Summary of magnetostatic relations between magnetic vector potential, magnetic field and current density. Here, .