The formula to calculate Resistivity of Material (ρmaterial) is:
\[ ρ_{material} = \frac{2 \cdot [Mass-e]}{n \cdot [Charge-e]^2 \cdot τ} \]
Where:
Resistivity of Material is a measure of how strongly a material opposes the flow of electric current, dependent on the material's properties and temperature.
Number of Free Charge Particles per Unit Volume is the quantity of free charge carriers available per unit volume of a conductor.
Relaxation time is the time taken by the current in a circuit to decay to a certain fraction of its initial value.
Let's assume the following values:
Using the formula:
\[ ρ_{material} = \frac{2 \cdot [Mass-e]}{n \cdot [Charge-e]^2 \cdot τ} \]
Evaluating:
\[ ρ_{material} = \frac{2 \cdot 9.10938356E-31}{3610000000 \cdot (1.60217662E-19)^2 \cdot 0.05} \]
The Resistivity of Material is 0.393206780657911 Ω·m.
| Number of Free Charge Particles (n) | Relaxation Time (τ) | Resistivity (ρmaterial) |
|---|---|---|
| 3000000000 | 0.04 | 0.591448532572941 |
| 3000000000 | 0.05 | 0.473158826058353 |
| 3100000000 | 0.04 | 0.572369547651233 |
| 3100000000 | 0.05 | 0.457895638120986 |
| 3200000000 | 0.04 | 0.554482999287132 |
| 3200000000 | 0.05 | 0.443586399429706 |
| 3300000000 | 0.04 | 0.537680484157219 |
| 3300000000 | 0.05 | 0.430144387325775 |
| 3400000000 | 0.04 | 0.521866352270242 |
| 3400000000 | 0.05 | 0.417493081816193 |
| 3500000000 | 0.04 | 0.506955885062521 |
| 3500000000 | 0.05 | 0.405564708050016 |
| 3600000000 | 0.04 | 0.492873777144117 |
| 3600000000 | 0.05 | 0.394299021715294 |
| 3700000000 | 0.04 | 0.479552864248330 |
| 3700000000 | 0.05 | 0.383642291398664 |
| 3800000000 | 0.04 | 0.466933052031269 |
| 3800000000 | 0.05 | 0.373546441625015 |
| 3900000000 | 0.04 | 0.454960409671493 |
| 3900000000 | 0.05 | 0.363968327737194 |
| 4000000000 | 0.04 | 0.443586399429706 |
| 4000000000 | 0.05 | 0.354869119543764 |