The formula to calculate Unknown Resistance (Rx) is:
\[ Rx = R \cdot \frac{L_{\text{wire}}}{L_{f,\text{wire}}} \]
Where:
Unknown Resistance is the opposition to the flow of electric current in a circuit, measured in ohms, and depends on the material and its dimensions.
Electric resistance is the opposition to the flow of an electric current and is measured in ohms, representing how much a material hinders electric current flow.
Wire Length is the length of a wire that affects the resistance and conductivity of an electric circuit, influencing the flow of electric current.
Final Length of Wire is the length of the wire after it has been stretched or compressed due to the flow of electric current.
Let's assume the following values:
Using the formula:
\[ Rx = R \cdot \frac{L_{\text{wire}}}{L_{f,\text{wire}}} \]
Evaluating:
\[ Rx = 15 \cdot \frac{0.035}{0.0639} \]
The Unknown Resistance is 8.21596244131455 Ohms.
| Electric Resistance (R, Ohms) | Wire Length (Lwire, m) | Final Length of Wire (Lf,wire, m) | Unknown Resistance (Rx, Ohms) |
|---|---|---|---|
| 10 | 0.03 | 0.06 | 5.0000 |
| 10 | 0.03 | 0.063 | 4.7619 |
| 10 | 0.03 | 0.066 | 4.5455 |
| 10 | 0.03 | 0.069 | 4.3478 |
| 10 | 0.032 | 0.06 | 5.3333 |
| 10 | 0.032 | 0.063 | 5.0794 |
| 10 | 0.032 | 0.066 | 4.8485 |
| 10 | 0.032 | 0.069 | 4.6377 |
| 10 | 0.034 | 0.06 | 5.6667 |
| 10 | 0.034 | 0.063 | 5.3968 |
| 10 | 0.034 | 0.066 | 5.1515 |
| 10 | 0.034 | 0.069 | 4.9275 |
| 10 | 0.036 | 0.06 | 6.0000 |
| 10 | 0.036 | 0.063 | 5.7143 |
| 10 | 0.036 | 0.066 | 5.4545 |
| 10 | 0.036 | 0.069 | 5.2174 |
| 10 | 0.038 | 0.06 | 6.3333 |
| 10 | 0.038 | 0.063 | 6.0317 |
| 10 | 0.038 | 0.066 | 5.7576 |
| 10 | 0.038 | 0.069 | 5.5072 |
| 12 | 0.03 | 0.06 | 6.0000 |
| 12 | 0.03 | 0.063 | 5.7143 |
| 12 | 0.03 | 0.066 | 5.4545 |
| 12 | 0.03 | 0.069 | 5.2174 |
| 12 | 0.032 | 0.06 | 6.4000 |
| 12 | 0.032 | 0.063 | 6.0952 |
| 12 | 0.032 | 0.066 | 5.8182 |
| 12 | 0.032 | 0.069 | 5.5652 |
| 12 | 0.034 | 0.06 | 6.8000 |
| 12 | 0.034 | 0.063 | 6.4762 |
| 12 | 0.034 | 0.066 | 6.1818 |
| 12 | 0.034 | 0.069 | 5.9130 |
| 12 | 0.036 | 0.06 | 7.2000 |
| 12 | 0.036 | 0.063 | 6.8571 |
| 12 | 0.036 | 0.066 | 6.5455 |
| 12 | 0.036 | 0.069 | 6.2609 |
| 12 | 0.038 | 0.06 | 7.6000 |
| 12 | 0.038 | 0.063 | 7.2381 |
| 12 | 0.038 | 0.066 | 6.9091 |
| 12 | 0.038 | 0.069 | 6.6087 |
| 14 | 0.03 | 0.06 | 7.0000 |
| 14 | 0.03 | 0.063 | 6.6667 |
| 14 | 0.03 | 0.066 | 6.3636 |
| 14 | 0.03 | 0.069 | 6.0870 |
| 14 | 0.032 | 0.06 | 7.4667 |
| 14 | 0.032 | 0.063 | 7.1111 |
| 14 | 0.032 | 0.066 | 6.7879 |
| 14 | 0.032 | 0.069 | 6.4928 |
| 14 | 0.034 | 0.06 | 7.9333 |
| 14 | 0.034 | 0.063 | 7.5556 |
| 14 | 0.034 | 0.066 | 7.2121 |
| 14 | 0.034 | 0.069 | 6.8986 |
| 14 | 0.036 | 0.06 | 8.4000 |
| 14 | 0.036 | 0.063 | 8.0000 |
| 14 | 0.036 | 0.066 | 7.6364 |
| 14 | 0.036 | 0.069 | 7.3043 |
| 14 | 0.038 | 0.06 | 8.8667 |
| 14 | 0.038 | 0.063 | 8.4444 |
| 14 | 0.038 | 0.066 | 8.0606 |
| 14 | 0.038 | 0.069 | 7.7101 |
| 16 | 0.03 | 0.06 | 8.0000 |
| 16 | 0.03 | 0.063 | 7.6190 |
| 16 | 0.03 | 0.066 | 7.2727 |
| 16 | 0.03 | 0.069 | 6.9565 |
| 16 | 0.032 | 0.06 | 8.5333 |
| 16 | 0.032 | 0.063 | 8.1270 |
| 16 | 0.032 | 0.066 | 7.7576 |
| 16 | 0.032 | 0.069 | 7.4203 |
| 16 | 0.034 | 0.06 | 9.0667 |
| 16 | 0.034 | 0.063 | 8.6349 |
| 16 | 0.034 | 0.066 | 8.2424 |
| 16 | 0.034 | 0.069 | 7.8841 |
| 16 | 0.036 | 0.06 | 9.6000 |
| 16 | 0.036 | 0.063 | 9.1429 |
| 16 | 0.036 | 0.066 | 8.7273 |
| 16 | 0.036 | 0.069 | 8.3478 |
| 16 | 0.038 | 0.06 | 10.1333 |
| 16 | 0.038 | 0.063 | 9.6508 |
| 16 | 0.038 | 0.066 | 9.2121 |
| 16 | 0.038 | 0.069 | 8.8116 |
| 18 | 0.03 | 0.06 | 9.0000 |
| 18 | 0.03 | 0.063 | 8.5714 |
| 18 | 0.03 | 0.066 | 8.1818 |
| 18 | 0.03 | 0.069 | 7.8261 |
| 18 | 0.032 | 0.06 | 9.6000 |
| 18 | 0.032 | 0.063 | 9.1429 |
| 18 | 0.032 | 0.066 | 8.7273 |
| 18 | 0.032 | 0.069 | 8.3478 |
| 18 | 0.034 | 0.06 | 10.2000 |
| 18 | 0.034 | 0.063 | 9.7143 |
| 18 | 0.034 | 0.066 | 9.2727 |
| 18 | 0.034 | 0.069 | 8.8696 |
| 18 | 0.036 | 0.06 | 10.8000 |
| 18 | 0.036 | 0.063 | 10.2857 |
| 18 | 0.036 | 0.066 | 9.8182 |
| 18 | 0.036 | 0.069 | 9.3913 |
| 18 | 0.038 | 0.06 | 11.4000 |
| 18 | 0.038 | 0.063 | 10.8571 |
| 18 | 0.038 | 0.066 | 10.3636 |
| 18 | 0.038 | 0.069 | 9.9130 |
| 20 | 0.03 | 0.06 | 10.0000 |
| 20 | 0.03 | 0.063 | 9.5238 |
| 20 | 0.03 | 0.066 | 9.0909 |
| 20 | 0.03 | 0.069 | 8.6957 |
| 20 | 0.032 | 0.06 | 10.6667 |
| 20 | 0.032 | 0.063 | 10.1587 |
| 20 | 0.032 | 0.066 | 9.6970 |
| 20 | 0.032 | 0.069 | 9.2754 |
| 20 | 0.034 | 0.06 | 11.3333 |
| 20 | 0.034 | 0.063 | 10.7937 |
| 20 | 0.034 | 0.066 | 10.3030 |
| 20 | 0.034 | 0.069 | 9.8551 |
| 20 | 0.036 | 0.06 | 12.0000 |
| 20 | 0.036 | 0.063 | 11.4286 |
| 20 | 0.036 | 0.066 | 10.9091 |
| 20 | 0.036 | 0.069 | 10.4348 |
| 20 | 0.038 | 0.06 | 12.6667 |
| 20 | 0.038 | 0.063 | 12.0635 |
| 20 | 0.038 | 0.066 | 11.5152 |
| 20 | 0.038 | 0.069 | 11.0145 |