unit

siemens per metre

siemens per metre — from formula anatomy
17 related articles

Description

The siemens per metre (S/m) is the SI unit of electrical conductivity, quantifying how easily an electric current flows through a material. It is the inverse of resistivity (measured in ohm-metres). A high value means the material is a good conductor, like copper (about 5.8×10⁷ S/m), while a low value indicates an insulator, like glass (around 10⁻¹² S/m).

History

The unit is named after Werner von Siemens, who contributed to electrical engineering in the 19th century; the siemens was adopted as an SI unit in 1971, replacing the older 'mho' (ohm spelled backwards).

How it works

Conductivity σ relates the current density J to the applied electric field E via Ohm's law in local form: J = σE. The unit siemens per metre arises because conductivity is the ratio of current density (A/m²) to electric field (V/m), and 1 S = 1 A/V. In practice, conductivity is measured with four-point probes or eddy-current methods, and it depends on temperature, impurities, and frequency for alternating fields.

In practice

Conductivity measurements are used to assess water quality, to design electrical wiring and circuit boards, and to characterize materials for electromagnetic shielding.

Fun fact

Seawater has a conductivity of about 4 S/m, which is why submarines use extremely low-frequency radio waves — they penetrate conductive water better than higher frequencies.

Related articles · 17

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