Conventions

From PlasmaWiki

Jump to: navigation, search

For units and dimensions, we nearly follow the conventions set forth by the plasma formulary. We however, make additional suggestions, set forth at the bottom of this page.

[edit] NRL Formulary Table of Dimensions and Units

To get the value of a quantity in Gaussian units, multiply the value expressed in SI units by the conversion factor. Multiples of 3 in the converstion factors result for approximating the speed of light c = 2.9979 \times 10^{10} cm/sec \approx 3 \times 10^{10} cm/sec.
Physical Quantity Symbol SI Dimensions </math> Gaussian Dimensions SI Units Conversion Factor Gaussian Units
Capacitance C \frac{t^2 q^2}{m l^2} l farad 9 \times 10^{11} cm
Charge q q \frac{m^{1/2} l^{3/2}}{t} coulomb 3 \times 10^9 statcoulomb
Charge Density ρ \frac{q}{l^3} \frac{m^{1/2}}{l^{3/2} t} coulomb/m3 3 \times 10^3 statcoulomb/cm3
Conductance \frac{t q^2}{m l^2} \frac{l}{t} siemens 9 \times 10^{11} cm/sec
Conductivity σ \frac{t q^2}{m l^3} \frac{1}{t} siemens/m 9 \times 10^{9} sec^{-1}
Current I,i \frac{q}{t} \frac{m^{1/2} l^{3/2}}{t^2} ampere/m2 3 \times 10^{9} statampere
Current Density \mathbf{J}, \mathbf{j} \frac{q}{t} \frac{m^{1/2} l^{3/2}}{t^2} ampere/m2 3 \times 10^{9} statampere
Mass Density ρ \frac{m}{l^3} \frac{m}{l^3} kg/m3 10 − 3 g/cm3
Displacement \mathbf{D} \frac{q}{l^2} \frac{m^{1/2}}{l^{1/2}t} coulomb/m^2 12 \pi \times 10^5 statcoulomb/cm2
Electric Field \mathbf{E} \frac{ml}{t^2 q} \frac{m^{1/2}}{l^{1/2} t} volt/m \frac{1}{3} \times 10^{-4} statvolt/cm2
Electromotance Ε,Emf \frac{ml^2}{t^2 q} \frac{m^{1/2}l^{1/2}}{t} volt \frac{1}{3} \times 10^{-2} statvolt</math>
Energy U,W \frac{ml^2}{t^2} \frac{ml^2}{t^2} joule 107 erg</math>
Energy Density w,ε \frac{m}{l t^2} \frac{m}{l t^2} joule/m3 10 erg/cm3</math>
Force \mathbf{F} \frac{ml}{t^2} \frac{ml}{t^2} newton 105 dyne</math>
Frequency f, \nu, \frac{\omega}{2\pi} \frac{1}{t} \frac{1}{t} hertz 1 hertz</math>
Impedance Z \frac{m l^2}{t q^2} \frac{t}{l} ohm \frac{1}{9} \times 10^{-11} sec/cm</math>
Inductance L \frac{m l^2}{q^2} \frac{t^2}{l} henry \frac{1}{9} \times 10^{-11} sec2/cm
Length l l l meter (m) 102 centimeter (cm)
Magnetic Intensity H \frac{q}{lt} \frac{m^{1/2}}{l^{1/2} t} ampere-turn/m 4 \pi \times 10^{-3} oersted
Magnetic Flux Φ \frac{m l^2}{t q} \frac{m^{1/2} l^{3/2}}{t} weber 108 maxwell
Magnetic Induction, also Magnetic Field \mathbf{B} \frac{m}{tq} \frac{m^{1/2}}{l^{1/2} t} tesla 104 gauss
Magnetic Moment m,μ \frac{l^2 q}{t} \frac{m^{1/2} l^{5/2}}{t} ampere-m2 103 oersted-cm3
Magnetization \mathbf{M} \frac{q}{lt} \frac{m^{1/2}}{l^{1/2} t} ampere-turn/m 4 \pi \times 10^{-3} oersted
Magnetomotance ℳ, Mmf \frac{q}{t} \frac{m^{1/2} l^{1/2}}{t^2} ampere-turn \frac{4 \pi}{10} gilbert
Mass m,M m m kilogram (kg) 103 gram
Momentum \mathbf{P}, \mathbf{p} \frac{ml}{t} \frac{ml}{t} kg-m/s 105 g-cm/sec
Momentum Density \mathbf{p} \frac{m}{l^2t} \frac{m}{l^2t} kg/m2-s 10 − 1 g/cm2-sec
Permeability μ \frac{ml}{q} 1 henry/m \frac{1}{4 \pi} \times 10^7 -
Permittivity ε \frac{t^2 q^2}{m l^3} 1 farad/m 36 \pi \times 10^{9} -
Polarization \mathbf{P} \frac{q}{l^2} \frac{m^{1/2}}{l^{1/2}t} coulomb/m2 3 \times 10^{5} statcoulomb/cm2
Electric Potential V,φ \frac{m l^2}{t^2 q} \frac{m^{1/2} l^{1/2}}{t} volt \frac{1}{3} \times 10^{-2} statvolt
Power P \frac{m l^2}{t^3} \frac{m l^2}{t^3} watt 107 erg/sec
Power Density \frac{m}{l t^3} \frac{m}{l t^3} watt/m3 10 erg/cm3-sec
Pressure p,P \frac{m}{l t^2} \frac{m}{l t^2} pascal 10 dyne/cm2
Reluctance ℜ \frac{q^2}{m l^2} \frac{1}{l} ampere-turn/weber 4 \pi \times 10^{-9} cm − 1
Resistance R \frac{m l^2}{t q^2} \frac{t}{l} ohm \frac{1}{9} \times 10^{-11} sec/cm
Resistivity η,ρ \frac{m l^3}{t q^2} t ohm-m \frac{1}{9} \times 10^{-9} sec
Thermal Conductivity κ,k \frac{m l}{t^3} \frac{m l}{t^3} watt/m-deg (Kelvin) 105 erg/cm-sec-deg (Kelvin)
Time t t t second (s) 1 second (sec)
Vector Potential \mathbf{A} \frac{ml}{tq} \frac{m^{1/2} l^{1/2}}{t} weber/m 106 gauss-cm
Velocity \mathbf{v} \frac{l}{t} \frac{l}{t} m/s 102 cm/sec
Viscosity eta,μ \frac{m}{lt} \frac{m}{lt} kg/m-s 10 poise
Vorticity ζ \frac{1}{t} \frac{1}{t} s − 1 1 sec^{-1}
Work W \frac{m l^2}{t^2} \frac{m l^2}{t^2} joule 107 erg

[edit] Additional Suggestions

  • Use I for total current and \mathbf{j} for current density.
  • Use math bold font '\mathbf{}' to indicate vectors.
  • Tensors may be indicated with either double arrows or none (?)
  • The outer product symbol may be omitted.
  • \mathbf{p} may be used for momentum density, while w or u may be used for energy density.
Retrieved from "http://localhost/wiki/Conventions"