The graph below represents the relationship between the potential difference across a metal conductor and the current through the conductor at a constant temperature.

What is the resistance of the conductor?

Question

The graph below represents the relationship between the potential difference across a metal conductor and the current through the conductor at a constant temperature.

What is the resistance of the conductor?

BlackTom AI · Accepted Answer

The problem asks for the resistance of a metal conductor from a graph of potential difference (voltage) versus current at a constant temperature.

First, recall Ohm's law: V = IR, which means the resistance R is the ratio of voltage to current. On a V vs I graph, this corresponds to the slope of the straight-line relationship. A steeper slope indicates a higher resistance, while a shallower slope indicates a lower resistance. If the graph passes through the origin (which is typical for an ideal conductor at constant temperature), the resistance is simply the slope (ΔV/ΔI) of the line.

In this case, however, the provided information is incomplete for a calculation:
- The graph image is not available for viewing values, so we cannot extract any coordinates, axis units, or slope directly. 
- The list of answer choices is empty, so there is no alternative to compare against or to verify the slope against.
- The textual answer given ("10 Ω") appears in the data, but without numerical points from the graph, we cannot independently confirm this value from the graph alone.

Given these gaps, here is how one would proceed if the graph were accessible:
- Identify a clear pair of corresponding V and I values lying on the same point of the line, or read off two points on the line from the graph.
- Compute the slope: R = ΔV / ΔI between those two points.
- If the line does not pass through the origin due to measurement or material behavior at that temperature, ensure you use the definite relation for the segment of the line, but for a true Ohmic conductor at constant temperature, the line should pass through the origin and the slope suffices.

If you must rely on the provided answer, and the system indicates 10 Ω, that would imply the graph’s slope corresponds to V = 10 I. To verify, one would need actual data points from the graph to confirm that V = 10 × I for the observed current values.

In summary, without the graph values or axis scales, we cannot independently compute the resistance. If the graph data yield V = 10 I, then the resistance would be 10 Ω; otherwise, use the slope of the V–I line from the graph to determine R. If any axis units or scale are mixed up or if the line deviates from a straight Ohmic relationship, those would affect the interpretation of resistance at constant temperature.

Physics 1 Hon - Bowles - p06/p07 P10.13/10.15 Electrostatics & Circuits MC Test

The graph below represents the relationship between the potential difference across a metal conductor and the current through the conductor at a constant temperature. What is the resistance of the conductor?

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