How Did Millikan Determine the Charge of an Electron?

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SUMMARY

Millikan determined the charge of an electron using the formula q = mgr / v, where he measured the mass, voltage, and radius of oil drops. By averaging multiple experimental results, he identified the elementary charge as 1.6 x 10^-19C. The discussion highlights the importance of identifying the lowest charge value from multiple experiments to confirm that this value is a fundamental charge, as any non-integer multiples would indicate an incorrect assumption about the lowest charge. This methodical approach allowed Millikan to derive the charge accurately through repeated experimentation.

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  • Understanding of basic physics concepts, particularly electrostatics
  • Familiarity with the principles of experimental design and averaging
  • Knowledge of the formula q = mgr / v
  • Basic grasp of significant figures and scientific notation
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Students of physics, educators teaching electrostatics, and researchers interested in the historical experiments that shaped our understanding of atomic structure.

decamij
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I finally know how he did it! Knowing the mass, voltage, and radius, he used:

q = mgr / v to find the elementary charge. He averaged out all his findings to get the best result

But...if the mass of the drop was known, how would one know how many electrons the oil drop had? For example, if all oil drops had no less than 3.2x10^-19C of charge, how would Millikan assume that e = 1.6x10^-19C? It's just kinda confusing.
 
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We you actually perform the experiment, you get values of q that are multiples of e.
 
when u perform the experiment many times, u get different amounts of charge on the drop for each exp. comparing these different values, you should be able to find the lowest value (lets say it's 3.2 x 10^-19C). then with this lowest value u find, for each of the other readings, how many times are they multiples of this lowest value. u should be able to get clean clear quotients that are either whole numbers or simple fractions with denominators such 2, 4 and so on. if u get a fraction, say, 1.5 somewhere, then u know that 3.2 x 10^-19C can't be the fundamental charge cos there is a mulitiple of 0.5 that u can't account for. this extra 0.5 will suggest that the lowest charge is 0.5 x 3.2 x 10^-19C.

extrapolating from here and doing the experiments many times over will get u the fundamental charge of 1.6 x 10^-19C.
 

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