Electric Resistivity Converter
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| Unit | Equivalent Value |
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Electric Resistivity (also known as Specific Electrical Resistance, Volume Bulk Resistivity, Material Ohmic Impedance, or Conductive Drag Rate, symbolized by ρ) measures the intrinsic physical property of a material to oppose the flow of electric current per unit cross-sectional area and unit length, independent of physical specimen geometry (ρ = R · (A ÷ L) = E ÷ J = m ÷ (n · e2 · τ), where R is resistance in ohms, A is cross-sectional area in square meters or circular mils, L is length in meters or feet, E is electric field strength in V/m, J is current density in A/m2, m is electron mass, n is electron carrier density, e is elementary charge, and τ is electron collision relaxation time). Across copper wire manufacturing standards, semiconductor silicon wafer doping analysis, aluminum alloy smelting, Nichrome heating coil engineering, soil resistivity grounding protection, and insulating polymer material science, electric resistivity is categorized across four major engineering unit families: International System of Units (SI metric fundamental: Ohm Meter / Ω·m, Ohm Centimeter / Ω·cm, Microhm Centimeter / μΩ·cm, Microhm Inch / μΩ·in, Ohm Inch / Ω·in), US Wire Gauge & Metallurgical Standards (Circular Mil Ohm per Foot / cmil·Ω/ft), CGS Electromagnetic System units (Abohm Centimeter / abΩ·cm), and CGS Electrostatic System units (Statohm Centimeter / stΩ·cm).
Our free online Electric Resistivity Converter provides instant, high-precision conversions across all SI metric, US wire gauge, CGS electromagnetic, and semiconductor wafer resistivity units:
- Ohm Centimeter to Ohm Meter [Semiconductor Standard]: Multiply Ω·cm by
0.01(1 Ω·cm = 0.01 Ω·m = 1.0 × 106 μΩ·cm ⇒ 1 Ω·m = 100.0 Ω·cm). - Microhm Centimeter to Ohm Meter [Metallurgy Standard]: Multiply μΩ·cm by
1.0 × 10-8(1 μΩ·cm = 1.0 × 10-8 Ω·m = 0.000001 Ω·cm = 6.0153 cmil·Ω/ft ⇒ 1 Ω·m = 100,000,000.0 μΩ·cm). - Circular Mil Ohm per Foot (cmil·Ω/ft) to Ohm Meter & μΩ·cm [US Wire Standard]: Multiply cmil·Ω/ft by
1.662426113 × 10-9(1 cmil·Ω/ft = 1.66243 × 10-9 Ω·m = 0.166243 μΩ·cm ⇒ 1 Ω·m = 601,530,493.4 cmil·Ω/ft). - Microhm Inch (μΩ·in) to Ohm Meter & μΩ·cm [Imperial Standard]: Multiply μΩ·in by
2.54 × 10-8(1 μΩ·in = 2.54 × 10-8 Ω·m = 2.54 μΩ·cm ⇒ 1 Ω·m = 39,370,078.74 μΩ·in). - Abohm Centimeter to Ohm Meter [CGS Electromagnetic Standard]: Multiply abΩ·cm by
1.0 × 10-11(1 abΩ·cm = 1.0 × 10-11 Ω·m = 0.001 μΩ·cm ⇒ 1 Ω·m = 1.0 × 1011 abΩ·cm). - Statohm Centimeter to Ohm Meter [CGS Electrostatic Standard]: Multiply stΩ·cm by
8,987,524,324.0156(1 statohm centimeter = 8.98752 × 109 Ω·m = 898.752 MΩ·m ⇒ 1 Ω·m = 1.11265 × 10-10 stΩ·cm).
Master Electric Resistivity Conversion Table
The table below displays exact mathematical conversion relationships, SI Ohm Meter (Ω·m) multipliers, and Microhm Centimeter (μΩ·cm) equivalents relative to 1 Ohm Meter (1 Ω·m = 100 Ω·cm = 100,000,000 μΩ·cm = 601,530,493.4 cmil·Ω/ft):
| Electric Resistivity Unit Name | Symbol | Exact Value in Ohm Meter (Ω·m) | μΩ·cm, cmil·Ω/ft & Ω·cm Equivalent | Domain & Technical Application Standard |
|---|---|---|---|---|
| 1 Ohm Meter (Base SI Unit) | Ω·m |
1.0 Ω·m (Base SI Unit) |
1.0 × 108 μΩ·cm (100.0 Ω·cm / 6.0153 × 108 cmil·Ω/ft / 39.3701 Ω·in) |
SI Fundamental Base Unit of Intrinsic Electrical Resistivity |
| 1 Ohm Centimeter | Ω·cm |
0.01 Ω·m (10-2 Ω·m) |
1,000,000.0 μΩ·cm (1.0 Ω·cm / 6,015,305.0 cmil·Ω/ft / 0.393701 Ω·in) |
Semiconductor Silicon Wafer Doping & Substrate Metric |
| 1 Microhm Centimeter | μΩ·cm |
1.0 × 10-8 Ω·m |
1.0 μΩ·cm (6.015305 cmil·Ω/ft / 0.393701 μΩ·in / 1,000.0 abΩ·cm) |
Metallurgical Metal Conductor (Copper/Aluminium) Standard |
| 1 Circular Mil Ohm per Foot | cmil·Ω/ft |
1.662426113 × 10-9 Ω·m |
0.166243 μΩ·cm (1.0 cmil·Ω/ft / 0.06545 μΩ·in / 166.24 abΩ·cm) | US AWG Wire Manufacturer Specific Resistance Rating |
| 1 Microhm Inch | μΩ·in |
2.54 × 10-8 Ω·m |
2.54 μΩ·cm (15.2789 cmil·Ω/ft / 1.0 μΩ·in / 2,540.0 abΩ·cm) | Imperial Metal Alloy Specific Resistance Benchmark |
| 1 Abohm Centimeter | abΩ·cm |
1.0 × 10-11 Ω·m |
0.001 μΩ·cm (0.006015 cmil·Ω/ft / 1.0 abΩ·cm) | CGS Electromagnetic System Specific Resistance Unit |
| 1 Statohm Centimeter | stΩ·cm |
8,987,524,324.0 Ω·m |
8.98752 × 1017 μΩ·cm (8.98752 × 1011 Ω·cm) | CGS Electrostatic System Specific Resistance Unit |
Step-by-Step Copper Wire & Doped Silicon Wafer Resistivity Calculation Example
To calculate the resistivity (ρ) of a 1,000-foot 12 AWG pure copper conductor wire with a resistance of 1.588 Ohms (R = 1.588 Ω, L = 1,000 ft, Area = 6,530 circular mils = 3.3088 mm2), and calculate the resistivity of a moderately doped silicon semiconductor wafer substrate with a 4-point probe measurement reading of 0.050 Ohm-Centimeters (Rsheet · t = 0.050 Ω·cm) into Ω·m, μΩ·cm, and cmil·Ω/ft:
Step 1 (Copper Wire Resistivity in cmil·Ω/ft): ρcopper = R · (Area ÷ L) = 1.588 Ω × (6,530 cmil ÷ 1,000 ft) = 10.370 Coulomb-Ohm per foot (10.370 cmil·Ω/ft)
Step 2 (Copper Wire Unit Conversions): ρcopper = 10.370 cmil·Ω/ft × 1.662426 × 10-9 = 1.7239 × 10-8 Ω·m = 1.7239 μΩ·cm
Step 3 (Doped Silicon Wafer Ohm Meter Calculation): ρsilicon = 0.050 Ω·cm ÷ 100 = 0.00050 Ohm Meters (0.00050 Ω·m = 5.0 × 10-4 Ω·m)
Step 4 (Doped Silicon Microhm Centimeter Conversion): ρsilicon = 0.050 Ω·cm × 1,000,000 = 50,000 Microhm Centimeters (50,000 μΩ·cm)
Thus, the 12 AWG copper wire exhibits an IACS resistivity of 1.724 μΩ·cm (10.37 cmil·Ω/ft), while the doped silicon wafer exhibits a resistivity of 0.050 Ω·cm (50,000 μΩ·cm).
Real-World Materials & Semiconductor Resistivity Benchmarks
Below is a comparative reference chart showing electric resistivity values (ρ) across copper, aluminum, Nichrome, silicon, and glass insulators:
| Physical Material / Semiconductor Wafer | Electric Resistivity in Ω·m | μΩ·cm & cmil·Ω/ft Equivalent | Materials Science & Engineering Context |
|---|---|---|---|
| Pure Annealed Copper Metal (IACS Standard at 20°C) | 1.678 × 10-8 Ω·m | 1.678 μΩ·cm (10.371 cmil·Ω/ft / 0.6606 μΩ·in) | 100% IACS international electrical conductor resistivity standard |
| Electrical Conductor Grade Aluminum Metal (EC Grade) | 2.654 × 10-8 Ω·m | 2.654 μΩ·cm (15.966 cmil·Ω/ft) | High-voltage overhead power line conductor aluminum alloy |
| Nichrome Alloy Wire (80% Ni, 20% Cr Heating Element) | 1.10 × 10-6 Ω·m | 110.0 μΩ·cm (661.6 cmil·Ω/ft) | High-resistivity thermal heating element alloy |
| Heavily Doped Silicon Substrate (1018 cm-3 Doping) | 1.0 × 10-4 – 1.0 × 10-5 Ω·m | 10.0 – 100.0 μΩ·cm (0.001 – 0.010 Ω·cm) | Degenerately doped low-resistance microchip silicon wafer |
| Intrinsic Undoped Pure Silicon Crystal (300K) | 2,300.0 Ω·m | 230,000.0 Ω·cm (2.30 × 1011 μΩ·cm) | Thermal equilibrium intrinsic semiconductor resistivity |
| Fused Quartz Glass Insulator | 1.0 × 1016 – 1.0 × 1018 Ω·m | 1.0 × 1018 – 1.0 × 1020 Ω·cm | Ultra-high electrical insulation resistance material |
History & Physics: 1838 Pouillet’s Law vs 1900 Drude Free Electron Collision Theory
1838 Claude Pouillet & Specific Resistance Law (ρ = R · A ÷ L)
In 1838, French physicist Claude Pouillet expanded upon Georg Simon Ohm’s discovery by formulating Pouillet’s Law: electrical resistance R of a uniform conductor is directly proportional to length L and inversely proportional to cross-sectional area A: R = ρ · (L ÷ A). He defined Resistivity (ρ) as the intrinsic geometry-independent constant of a conductive material.
1900 Paul Drude & Classical Free Electron Collision Model
In 1900, German physicist Paul Drude derived the microscopic physical origin of electrical resistivity using kinetic gas theory: ρ = m ÷ (n · e2 · τ) (where m is electron mass, n is conduction electron carrier concentration, e is elementary charge, and τ is mean collision relaxation time between lattice vibrations). Drude’s model explains why heating a metal increases lattice collisions (τ decreases) and increases resistivity ρ.
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Frequently Asked Questions (FAQ)
How do you convert Microhm Centimeter (μΩ·cm) to Ohm Meter (Ω·m)?
To convert μΩ·cm to SI Ω·m, multiply μΩ·cm by 1.0 × 10-8 (divide by 100,000,000). For example, pure copper at 1.678 μΩ·cm = 1.678 × 10-8 Ω·m.
How do you convert Circular Mil Ohm per Foot (cmil·Ω/ft) to Microhm Centimeter (μΩ·cm)?
To convert cmil·Ω/ft to μΩ·cm, multiply cmil·Ω/ft by 0.1662426113. For example, 10.371 cmil·Ω/ft × 0.166243 = 1.724 μΩ·cm.
What is 100% IACS standard copper resistivity?
The International Annealed Copper Standard (IACS) defines pure copper resistivity at 20°C as exactly 1.7241 microhm-centimeters (1.7241 μΩ·cm = 1.7241 × 10-8 Ω·m = 10.371 cmil·Ω/ft).
How do you convert Ohm Centimeter (Ω·cm) to Ohm Meter (Ω·m)?
To convert Ω·cm to SI Ω·m, divide Ω·cm by 100 (multiply by 0.01). For example, a semiconductor silicon wafer at 0.050 Ω·cm = 0.00050 Ω·m (5.0 × 10-4 Ω·m).