An engineer investigates how the electrical resistance of a newly developed conductive polymer thread, intended for smart clothing, varies with its length.
The table below shows the measurements obtained during the experiment:
| Length of polymer thread (cm) | Voltage (V) | Current (A) | Resistance (Ω\OmegaΩ) |
|---|---|---|---|
| 10 | 9.0 | 3.60 | 2.5 |
| 20 | 9.0 | 1.80 | 5.0 |
| 30 | 9.0 | 1.20 | 7.5 |
| 40 | 9.0 | 0.90 | 10.0 |
| 50 | 9.0 | 0.72 | [Missing] |
Identify the independent variable and the dependent variable in this investigation.
State the equation linking voltage, current, and resistance.
Complete the table by calculating the missing value of resistance.
Describe the relationship shown by these results between the length of the polymer thread and its resistance, and explain how a graph of resistance (yyy-axis) plotted against length (xxx-axis) would support this conclusion.