How to show the inverse square law from a data set

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SUMMARY

The discussion centers on demonstrating the inverse square law using a dataset of radial distance (r) and electric field strength (E). The user initially struggled to find a non-graphical method to establish the relationship but ultimately resolved the issue independently. The key takeaway is that E is proportional to 1/r², which can be confirmed through mathematical manipulation of the data without graphical representation.

PREREQUISITES
  • Understanding of the inverse square law in physics
  • Familiarity with electric field strength concepts
  • Basic algebra for manipulating equations
  • Knowledge of data analysis techniques
NEXT STEPS
  • Explore mathematical proofs of the inverse square law
  • Learn about data normalization techniques for analysis
  • Investigate statistical methods for validating relationships in datasets
  • Study non-graphical data representation methods
USEFUL FOR

Students in physics, data analysts, and educators looking to understand or teach the inverse square law and its applications in real-world datasets.

BEECHBOY707
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Homework Statement


Hi there! I have a data set of r (independent variable) and E (electric field strength) (dependent variable). The question asks for a non graphical method to show if there is an inverse square law relationship between the two data sets.
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My attempt:
I picked the equation of field strength in a radial field to show that E is proportional to the inverse of r squared. I then, without any obvious next move, tried to find a relationship between the two days sets. I tried simply putting the two into the formula, I tried logging E and then multiplying it by the square of r, but I have a mind black and don't know how to do it! Please help!
 
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Don't worry, worked it out. It was a mind blank after all!
 

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