conductivity dimension

Question

SI unit (dimension) of conductivity σ?

RankGuru · Accepted Answer

1. **Definition**: Conductivity ($\sigma$) is the reciprocal of resistivity ($\rho$). $\sigma = 1/\rho$.
2. **Resistivity Unit**: From $R = \rho L/A$, units are $\Omega \cdot m^2 / m = \Omega \cdot m$.
3. **Reciprocal Unit**: Therefore, units of $\sigma$ are $(\Omega \cdot m)^{-1} = \Omega^{-1} \cdot m^{-1}$.
4. **Siemens**: The inverse ohm ($\Omega^{-1}$) is also called **Siemens (S)** or **mho**.
5. **Conclusion**: The SI unit is **$S \cdot m^{-1}$** (Siemens per meter).

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conductivity dimension

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