Calculating the Hall Coefficient for a sample of germanium

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SUMMARY

The discussion focuses on calculating the Hall coefficient for a germanium sample using the formula RH=(VH * w)/(BI). The user initially struggled with how to derive a single Hall coefficient from multiple measurements of Hall voltage (VH) and current (I). The solution involves plotting Hall voltage against current and fitting the data with a linear function to determine the slope, which directly provides the necessary coefficient. This method effectively simplifies the calculation process for the Hall coefficient.

PREREQUISITES
  • Understanding of the Hall effect and its significance in solid-state physics.
  • Familiarity with linear regression analysis for data fitting.
  • Basic knowledge of experimental physics, particularly in measuring voltage and current.
  • Ability to use graphing tools or software for data visualization.
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  • Learn how to perform linear regression analysis using software like Python's SciPy library.
  • Explore the implications of the Hall effect in semiconductor physics.
  • Investigate the properties of germanium as a semiconductor material.
  • Study the impact of varying magnetic fields on Hall voltage measurements.
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Students in physics or engineering disciplines, experimental physicists, and anyone conducting research on semiconductor properties and the Hall effect.

ZoFunk
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Hey everyone! This is my first time posting here, so my apologies if I'm doing things wrong...which I probably am.
So for my modern physics lab report, we're investigating the Hall effect. We measured Hall voltages as we adjusted a DC current source. The first question in my manual is to calculate the Hall coefficient using my data along with information they gave me for the sample. Here's the equation they gave us for the Hall coefficient:
RH=(VH * w)/(BI)
where RH is the coefficient, VH is the Hall voltage, w is the width of the sample, B is the magnetic field, and I is the current applied. They've given me the width of the sample and we held B to be constant (I recorded the value of it in my lab notebook).
The problem is that I have a table of data for Hall voltage vs current (10 measurements), so how am I supposed to calculate just one coefficient for the sample when I have a bunch of different recorded values for the Hall voltage and the current? I'm super confused right now.
Hopefully my question makes sense - let me know if it doesn't and I'll do my best to clarify!
 
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You plot the Hall voltage as a function of current, then fit it with a linear function. The relevant result is the slope.
 
Yup, I figured it out! :) Thanks for answering.
 

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