Maxwell’s Equations in MKS units

(in absence of magnetic or polarizable media)

Differential Form: Faraday’s Law Ampere’s Law Poisson Equation [Absence of magnetic monopoles] Constitutive relations

Integral Form: Faraday’s Law definition of magnetic flux Ampere’s Law definition of electric flux Gauss’ Law for E (from Poisson’s Equation) Gauss’ Law for B (no magnetic monopoles exist)

Also: Lorentz force on charge q Integrate charge density over a volume to get charge enclosed Integrate current density over an area to get current enclosed Integrate this over a volume to get energy contained Poynting vector (points in the direction of and equal to energy flux) Poynting’s Theorem Light speed in vacuum ~ 3*108 [m/s]

Where:

Most lower case symbols are scalars ( is a vector).

Most upper case symbols are vectors ( and are scalars). is the curl operator is the dell dot product operator =  electric field intensity [V/m] = electric flux density [C/m2] = magnetic flux density [T] = magnetic field strength [A/m] = time [s] = current density [A/m2] = charge density [C/m3] = permittivity [F/m] = 8.8542*10-12 = permittivity of free space [F/m] = permeability [H/m] = 4*p*10-7 = permeability of free space [H/m] integral over a closed loop or area integral vector dot product vector cross product = differential length along a path [m] = differential area over a surface [m2] = differential volume [m3] = magnetic flux [Wb] = electric flux [Cm/F] = magnetic flux integrated over a closed surface [Wb] = electric flux integrated over a closed surface [Cm/F] = force [N] = velocity [m/s] = electric charge [C] = electric current [A] = energy [J] = Poynting vector [W/m2]

Sources:    NRL Plasma Formulary and http://www.uwm.edu/~norbury/em/node36.html