Electric Conductivity Converter

Convert between S/m, mS/m, and other electrical conductivity units

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About Electric Conductivity Measurement

What is Electric Conductivity?

Electric conductivity (σ) is a fundamental material property that quantifies how easily electric current flows through a substance. It represents the material's ability to conduct electricity and is defined as the ratio of current density (J) to electric field strength (E):

σ = J/E = (I/A) / (V/L) = (I × L) / (V × A)

Where: σ = conductivity, J = current density, E = electric field, I = current, V = voltage, A = cross-sectional area, L = length

The SI unit for electric conductivity is siemens per meter (S/m), named after Werner von Siemens. One siemen is equivalent to one ampere per volt, making conductivity a measure of how much current flows per unit voltage across a material.

Ohm's Law and Conductivity Relationship

Electric conductivity is fundamentally related to Ohm's Law through the relationship with resistivity. The conductivity of a material is the reciprocal of its resistivity:

σ = 1/ρ

Where: σ = conductivity (S/m), ρ = resistivity (Ω·m)

This relationship means that materials with high conductivity have low resistivity and vice versa. For example, copper has a conductivity of 5.96 × 10⁷ S/m and a resistivity of 1.68 × 10⁻⁸ Ω·m, while glass has a conductivity of 10⁻¹² S/m and a resistivity of 10¹² Ω·m.

Common Electric Conductivity Units and Conversions

UnitSymbolConversion to S/mCommon Applications
Siemens per meterS/m1 S/mSI unit, scientific research
Millisiemens per metermS/m10⁻³ S/mSoil conductivity, water quality
Microsiemens per centimeterμS/cm10⁻² S/mWater quality, environmental monitoring
Mho per centimetermho/cm10² S/mLegacy unit, older literature
Siemens per centimeterS/cm10² S/mSemiconductor characterization

Material Conductivity Types and Examples

Material TypeConductivity Range (S/m)ExamplesApplications
Superconductors∞ (at critical temperature)Niobium-titanium, YBCOMRI machines, particle accelerators
Conductors10⁶ - 10⁸Silver, copper, aluminumElectrical wiring, electronics
Semiconductors10⁻⁶ - 10⁴Silicon, germanium, gallium arsenideTransistors, solar cells, LEDs
Electrolytes10⁻² - 10²Seawater, battery electrolytesBatteries, electroplating
Insulators10⁻¹⁸ - 10⁻⁶Glass, rubber, plasticElectrical insulation, safety

Electric Conductivity Measurement Instruments

Conductivity Meters

  • Four-point probe: Measures sheet resistance and conductivity of thin films
  • Van der Pauw method: Determines conductivity of arbitrary-shaped samples
  • Conductivity cells: Measure liquid conductivity with platinum electrodes
  • Impedance spectroscopy: Analyzes conductivity over frequency range

Measurement Principles

  • DC methods: Direct current measurement with voltage drop
  • AC methods: Alternating current to avoid polarization effects
  • Contactless methods: Eddy current testing for non-destructive measurement
  • Hall effect: Measures carrier concentration and mobility

Temperature Effects on Electric Conductivity

Temperature significantly affects electric conductivity through different mechanisms depending on the material type:

Metals and Conductors

Conductivity decreases with temperature due to increased electron-phonon scattering:

σ(T) = σ₀ / (1 + α(T - T₀))

Where: α = temperature coefficient, T₀ = reference temperature

Semiconductors

Conductivity increases with temperature due to increased carrier concentration:

σ(T) = σ₀ × exp(-Eₐ/kT)

Where: Eₐ = activation energy, k = Boltzmann constant

Liquid Conductivity Measurement

Liquid conductivity is measured using conductivity cells with platinum electrodes. The cell constant (K) relates the measured conductance to conductivity: σ = K × G, where G is the measured conductance.

Frequently Asked Questions About Electric Conductivity Conversion