I had a question about the Millikan Oil drop experiment. I did the experiment for my physics class where we had to determine the voltage that would make the droplet stationary. We did this ten times, so I have ten different voltages. The mass, gravity, and distance remains the same it is only the voltage that is changing. The part I am struggling with is, I must determine my own fundamental charge from this experiment and compare it to the accepted value of 1.6x10^-19. How do I determine my own fundamental charge when I am given 10 different voltages? I believe that I am supposed to use the q=mgd/V equation but I am not fully sure. My mass is: 1.57x10^-15 C My distance: 0.1 m Gravity: 9.81 m/s^2 My voltages: 400, 457, 384, 369, 400, 355, 369, 436, 384, and 369.
It appears that your measurements may have been very imprecise. However, given your data, the best approach is to find a value for e such that the RMS differences between the charges $q_i$ you found and the nearest values of $n_i e$ to the $q_i$ is minimized. That is, minimize the square root of the sum of the squares of $(n_i e -q_i)^2$ by fiddling with the value of $e$. Choose $n_i$ for each $q_i$ so that $n_i e$ is as close as possible to $q_i$. Easy to do in a spreadsheet.