Gaussian units: Difference between revisions

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imported>Paul Wormer
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Gaussian units are the same as cgs emu for magnetostatics.
==Conversion of electric units==
 
Mx = [[maxwell (unit)|maxwell]], G = [[gauss (unit)|gauss]], Oe = [[oersted (unit)|oersted ]]; Wb = [[weber (unit)|weber]], V = [[volt]], s = [[second]], T = [[tesla (unit)|tesla]], m = [[meter]], A = [[ampere (unit)|ampere]], J = [[joule (unit)|joule]], kg = [[kilogram]], H = [[henry (unit)|henry]]
==Conversion of magnetic units==
<div align="center">
<div align="center">
<table>
<table width="90%">
<tr><th colspan="4"><hr></tr>
<tr><td colspan="5"> <hr> </td></tr>
<tr><td>Symbol<td align="center">Property     <td align="center">Gaussian &rarr; SI </tr>
<tr> <td><b>Symbol</b></td>  <td><b>Property</b>        </td> <td><b>SI Unit</b>       </td> <td><b>Factor</b>                           </td>   <td><b>Gaussian</b>           </td></tr>
<tr><th colspan="4"><hr></tr>
<tr><td colspan="5"> <hr> </td></tr>
<tr><td> &Phi;                <td> [[magnetic flux]]          <td> 1 Mx &rarr; 10<sup>&minus;8</sup> Wb = 10<sup>&minus;8</sup> V&sdot;s                            </tr>
<tr> <td><i>I</i>     </td>  <td>[[Electric current]]       </td> <td>ampere (A)            </td>  <td>10<i>c</i>                               </td>  <td>statampere (statA)        </td></tr>
<tr><td> <i>B</i>             <td> [[magnetic flux density]]   <td> 1 G &rarr; 10<sup>&minus;4</sup> T = 10<sup>&minus;4</sup> Wb/m<sup>2</sup>                       </tr>
<tr> <td><i>Q</i>    </td>   <td>[[Charge]]                 </td> <td>coulomb(C)            </td> <td>10<i>c</i>                               </td>   <td>statcoulomb (statC)        </td></tr>
<tr><td>                       <td> [[magnetic induction]]     <td>                                                                                                   </tr>
<tr> <td><i>V</i>     </td>  <td>[[Electric potential]]     </td> <td>volt (V)              </td>  <td>10<sup>6</sup>/<i>c</i>                 </td>   <td>statvolt (statV)          </td></tr>
<tr><td> <i>H</i>             <td> [[magnetic field]]          <td> 1 Oe &rarr; 10<sup>3</sup>/(4&pi;) A/m                                                            </tr>
<tr> <td><i>R</i>     </td>  <td>[[Resistance]]             </td> <td>ohm (&Omega;)        </td>  <td>10<sup>5</sup>/<i>c</i><sup>2</sup>     </td>  <td>statohm  (stat&Omega;)    </td></tr>
<tr><td> <i>m</i>             <td> [[magnetic moment]]         <td> 1 erg/G = 1 emu &rarr; 10<sup>&minus;3</sup> A&sdot;m<sup>2</sup> = 10<sup>&minus;3</sup> J/T    </tr>
<tr> <td><i>G</i>     </td>  <td>[[Conductance]]           </td> <td>siemens (S)           </td> <td>10<sup>&minus;5</sup><i>c</i><sup>2</sup></td>   <td>statsiemens (statS)        </td></tr>
<tr><td> <i>M</i>             <td> [[magnetization]]           <td> 1 erg/(G&sdot;cm<sup>3</sup>) = 1 emu/cm<sup>3</sup> &rarr; 10<sup>3</sup> A/m                    </tr>
<tr> <td><i>L</i>     </td>  <td>[[Self-inductance]]       </td> <td>henry (H)            </td> <td>10<sup>5</sup>/<i>c</i><sup>2</sup>     </td>  <td>abhenry  (abH)            </td></tr>
<tr><td> 4&pi;<i>M</i>         <td> [[magnetization]]           <td> 1 G &rarr; 10<sup>3</sup>/(4&pi;) A/m                                                            </tr>
<tr> <td><i>C</i>     </td>  <td>[[Capacitance]]           </td> <td>farad (F)            </td> <td>10<sup>&minus;5</sup><i>c</i><sup>2</sup></td>   <td>cm                        </td></tr>
<tr><td> &sigma;               <td> [[mass magnetization]]      <td> 1 erg/(G&sdot;g) = 1 emu/g &rarr; 1 A&sdot;m<sup>2</sup>/kg                                      </tr>
<tr> <td><i>E</i>     </td>   <td>[[Electric field]]         </td> <td>V/m                  </td>  <td>10<sup>4</sup>/<i>c</i>                 </td>  <td>statV/cm                  </td></tr>
<tr><td>                       <td> [[specific magnetization]]  <td>                                                                                                   </tr>
<tr> <td>&rho;       </td>  <td>[[Electric charge density]]</td> <td>C/m<sup>3</sup>       </td>  <td><i>c</i>/10<sup>5</sup>                 </td>  <td>statC/cm<sup>3</sup>       </td></tr>
<tr><td> <i>j</i>             <td> [[magnetic dipole moment]]  <td> 1 erg/G = 1 emu &rarr; 4&pi; &sdot; 10<sup>&minus;10</sup> Wb&sdot;m                              </tr>
<tr> <td><i>D</i>     </td>  <td>[[Electric displacement]] </td> <td>C/m<sup>2</sup>       </td>  <td>4&pi;10<sup>-3</sup><i>c</i>            </td>  <td>statV/cm                  </td></tr>
<tr><td> <i>J</i>             <td> [[magnetic polarization]]   <td> 1 erg/(G&sdot;cm<sup>3</sup>) = 1 emu/cm<sup>3</sup> &rarr; 4&pi; &sdot; 10<sup>&minus;4</sup> T  </tr>
<tr><td colspan="5"> <hr> </td></tr>
<tr><td> &chi;, &kappa;        <td> [[susceptibility]]          <td> 1 &rarr; 4&pi;                                                                                    </tr>
<tr><td> &chi;<sub>&rho;</sub> <td> [[mass susceptibility]]     <td> 1 cm<sup>3</sup>/g &rarr; 4&pi; &sdot; 10<sup>&minus;3</sup> m<sup>3</sup>/kg                    </tr>
<tr><td> &mu;                 <td> [[permeability]]           <td> 1 &rarr; 4&pi; &sdot; 10<sup>&minus;7</sup> H/m = 4&pi; &sdot; 10<sup>&minus;7</sup> Wb/(A&sdot;m)</tr>
<tr><td> &mu;<sub>r</sub>     <td> [[relative permeability]]   <td> &mu; &rarr; &mu;<sub>r</sub>                                                                     </tr>
<tr><td> <i>w, W</i>           <td> [[energy density]]         <td> 1 erg/cm<sup>3</sup> &rarr; 10<sup>&minus;1</sup> J/m<sup>3</sup>                                 </tr>
<tr><td> <i>N, D</i>          <td> [[demagnetizing factor]]    <td> 1 &rarr; 1/(4&pi;)                                                                                </tr>
</table>
</table>
<i>c</i> is the speed of light in m/s (&asymp; 3&sdot;10<sup>8</sup> m/s). <br>
Example: 1 A = 10<i>c</i> statA.
</div>
</div>

Revision as of 08:49, 13 July 2008

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Conversion of electric units

Symbol Property SI Unit Factor Gaussian
I Electric current ampere (A) 10c statampere (statA)
Q Charge coulomb(C) 10c statcoulomb (statC)
V Electric potential volt (V) 106/c statvolt (statV)
R Resistance ohm (Ω) 105/c2 statohm (statΩ)
G Conductance siemens (S) 10−5c2 statsiemens (statS)
L Self-inductance henry (H) 105/c2 abhenry (abH)
C Capacitance farad (F) 10−5c2 cm
E Electric field V/m 104/c statV/cm
ρ Electric charge density C/m3 c/105 statC/cm3
D Electric displacement C/m2 4π10-3c statV/cm

c is the speed of light in m/s (≈ 3⋅108 m/s).
Example: 1 A = 10c statA.

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