Gaussian units

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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.

Conversion of magnetic units

Gaussian units are the same as cgs emu for magnetostatics.

Mx = maxwell, G = gauss, Oe = oersted ; Wb = weber, V = volt, s = second, T = tesla, m = meter, A = ampere, J = joule, kg = kilogram, H = henry


SymbolProperty Gaussian → SI

Φ magnetic flux 1 Mx → 10−8 Wb = 10−8 V⋅s
B magnetic flux density 1 G → 10−4 T = 10−4 Wb/m2
magnetic induction
H magnetic field 1 Oe → 103/(4π) A/m
m magnetic moment 1 erg/G = 1 emu → 10−3 A⋅m2 = 10−3 J/T
M magnetization 1 erg/(G⋅cm3) = 1 emu/cm3 → 103 A/m
M magnetization 1 G → 103/(4π) A/m
σ mass magnetization 1 erg/(G⋅g) = 1 emu/g → 1 A⋅m2/kg
specific magnetization
j magnetic dipole moment 1 erg/G = 1 emu → 4π ⋅ 10−10 Wb⋅m
J magnetic polarization 1 erg/(G⋅cm3) = 1 emu/cm3 → 4π ⋅ 10−4 T
χ, κ susceptibility 1 → 4π
χρ mass susceptibility 1 cm3/g → 4π ⋅ 10−3 m3/kg
μ permeability 1 → 4π ⋅ 10−7 H/m = 4π ⋅ 10−7 Wb/(A⋅m)
μr relative permeability μ → μr
w, W energy density 1 erg/cm3 → 10−1 J/m3
N, D demagnetizing factor 1 → 1/(4π)