AP Physics 2
11.3 Resistance, Resistivity, and Ohm’s Law
A student measures the length \(L\), diameter \(d\), and electrical resistance \(R\) for four cylindrical wire samples composed of the same unknown metal alloy, as shown in the table.
Which of the following pairs of quantities, when plotted on the vertical and horizontal axes respectively, will yield a linear graph with a slope equal to the resistivity \(\rho\) of the alloy?
| Wire | Length \(L \text{ (m)}\) | Diameter \(d \text{ (mm)}\) | Resistance \(R \text{ (\Omega)}\) |
|---|---|---|---|
| 1 | 0.50 | 0.40 | 2.50 |
| 2 | 1.00 | 0.40 | 5.00 |
| 3 | 1.00 | 0.80 | 1.25 |
| 4 | 1.50 | 0.60 | 3.33 |
Which of the following pairs of quantities, when plotted on the vertical and horizontal axes respectively, will yield a linear graph with a slope equal to the resistivity \(\rho\) of the alloy?
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