Measured Surface Resistivity Much Higher than Theoretical Value (Why?)

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SUMMARY

The measured surface resistivity (Rs) of a carbon-filled conductive paper significantly exceeds the theoretical value of approximately 5,000 Ω/☐. Two distinct Rs measurements were recorded: 10,100 ± 83.07 Ω/☐ and 11,220 ± 63.02 Ω/☐. This consistent discrepancy across multiple lab groups suggests a systematic issue, potentially related to measurement procedures or the theoretical model used. Further investigation into the experimental setup and the model for theoretical resistivity is necessary to understand the observed differences.

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LulaBell
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I recently conducted a physics lab to measure the surface resistivity of a conductive sheet of a paper with a carbon filler. The theoretical Rs is approx. 5,000 Ω/☐ for this paper and yet we have calculated two Rs values:

Rs when Varying Length and holding Width = 10100 +/- 83.07 Ω/☐
Rs when Varying Width and holding Length = 11220 +/- 63.02 Ω/☐

To me, this discrepancy is very large, and I can't seem to explain why it could even occur, although we are not the only ones measuring this almost double Rs, it seems consistent around 10,000 Ω/☐ across the entire lab and yet I can't figure out why that is. Does it have something to do with the flow of electrons being blocked? Perhaps we did not connect something right although I struggle to see how that would be consistent with other groups.

Any help is very appreciated.
 
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So what measurement procedures did you use? How does your setup method compare to how the paper is typically used in practice?
 
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Yes the procedures that you followed are important. Also, what do you mean by "theoretical" resistivity? Do you know the model that has been used to calculate it? There might be a factor of 2 in the calculation (and the measurement) that was made to determine it vis-à-vis the way you conducted and analyzed your measurement. Remember that a sheet of paper has two surfaces.
 
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Do you have any additional details that may be useful @LulaBell ?

Or were you able to resolve the discrepancy?
 

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