Question

<module 3a
electrical resistance and temperature conceptual question
the electrical resistance of most materials is dependent on temperature. for many materials, the resistance decreases as the temperature of the material decreases. the data below show the resistance of a disk of yba2cu3o7, a hard, brittle ceramic, at temperatures between 200 k and 240 k (figure 1)
figure
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part a
based on the trend of these data, predict the expected resistance r of the sample at 160 k. express your answer in milliohms (10^(-3) ω).
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r = ×10^(-3) ω
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Explanation:

Step1: Observe the graph trend

The graph shows a decreasing - trend of resistance with decreasing temperature. Assume a linear - like relationship (a simple approximation for prediction) in the relevant temperature range.

Step2: Estimate the rate of change

We don't have exact data points for a precise linear fit, but we can make a rough estimate. If we assume the resistance continues to decrease at a similar rate as in the shown range (200 - 240 K). As the temperature decreases from 200 K to 160 K (a decrease of 40 K), and since the resistance decreases as temperature decreases, and from the graph at 200 K the resistance is around 9×10⁻³ Ω.

Step3: Predict the resistance

Based on the trend, we predict that the resistance at 160 K will be lower. A rough estimate could be that if we assume a relatively uniform decrease, and since the resistance is decreasing with temperature, we might estimate that the resistance at 160 K is around 0×10⁻³ Ω (because as we go further down in temperature the resistance keeps decreasing and might reach zero or close to zero in this simple prediction based on the trend).

Answer:

0