Calculate conductivity, length, cross-sectional area, or resistance from the other three values with unit conversions in S/m, m, m², and Ω.
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Conductivity to Resistance Formula
The following formula is used to convert conductivity to resistance:
R = L / (σ * A)
Variables:
- R is the resistance (Ω)
- L is the length of the material (m)
- σ is the conductivity (S/m)
- A is the cross-sectional area (m²)
To convert conductivity to resistance, divide the length of the material by the product of its conductivity and cross-sectional area.
| Conductivity (S/m) | Resistance (Ω) |
|---|---|
| 0.001 | 1000 |
| 0.005 | 200 |
| 0.010 | 100 |
| 0.020 | 50 |
| 0.050 | 20 |
| 0.100 | 10 |
| 0.200 | 5 |
| 0.500 | 2 |
| 1 | 1 |
| 2 | 0.5 |
| 5 | 0.2 |
| 10 | 0.1 |
| 20 | 0.05 |
| 50 | 0.02 |
| 100 | 0.01 |
| 200 | 0.005 |
| 500 | 0.002 |
| 1000 | 0.001 |
| 5000 | 0.0002 |
| 10000 | 0.0001 |
| Assumes unit geometry: Length L = 1 m and Cross-sectional Area A = 1 m², so R = 1/σ. For other geometries: R = L / (σ × A). | |
What is Electrical Resistance?
Electrical resistance is a measure of the opposition to the flow of electric current through a material. It is determined by the material’s properties, its length, and cross-sectional area. Resistance is an important parameter in electrical and electronic circuits, affecting how much current flows for a given voltage.
How to Calculate Resistance from Conductivity?
The following steps outline how to calculate the resistance from conductivity:
- First, determine the conductivity of the material (σ) in Siemens per meter (S/m).
- Next, determine the length of the material (L) in meters (m).
- Then, determine the cross-sectional area of the material (A) in square meters (m²).
- Use the formula R = L / (σ * A) to calculate the resistance (R) in ohms (Ω).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Conductivity (σ) = 5.8 S/m
Length (L) = 2 m
Cross-sectional Area (A) = 0.01 m²
