Ω⋅mm2/m\Omega{\cdot}\text{mm}^{2}\text{/m}

ohm square millimeter per meter

Electrical resistivityexact by definition

The ohm square millimetre per metre is the same size as the microohm metre, exactly 1e-6 ohm metres, written the way a cable schedule works: resistance equals resistivity times length in metres divided by conductor area in square millimetres. Copper is taken as 0.01724 Ω·mm²/m at 20 degrees Celsius in IEC practice and 0.0175 in older European tables. The conversion is exact, following from the exact definition of the millimetre.

1 Ω⋅mm2/m\Omega{\cdot}\text{mm}^{2}\text{/m} 0.000001 Ω⋅m\Omega{\cdot}\text{m}
Where the unit came from

The form survives because cable is sold by cross-sectional area in square millimetres. Keeping the unit in the shape of the calculation means a 2.5 mm² conductor 30 m long comes out in ohms with no prefix arithmetic at all.

One ohm square millimeter per meter in every electrical resistivity unit

1,000nanoohm meter (nΩ·m)
601.53ohm circular mil per foot (Ω·cmil/ft)
100microohm centimeter (μΩ·cm)
1microohm meter (μΩ·m)
1ohm square millimeter per meter (Ω·mm²/m)this unit
0.1milliohm centimeter (mΩ·cm)
0.0001ohm centimeter (Ω·cm)
0.000001ohm meter (Ω·m)
1.00000e-07kiloohm centimeter (kΩ·cm)
1.00000e-10megaohm centimeter (MΩ·cm)