Milikin Drop experiment change of charge with E-Field

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SUMMARY

The Milikin drop experiment demonstrates that the charge on a drop varies with changes in the electric field (E-field). The experiment involves ionizing a spray of drops and measuring their motion under the influence of an E-field. Key equations used include the balance of forces on the drop, specifically the gravitational force and the electrostatic force, allowing for the calculation of drop radius and charge. Observations indicate that the charge appears to fluctuate despite the absence of collisions between drops, suggesting a complex interaction with the E-field.

PREREQUISITES
  • Understanding of the Milikin drop experiment methodology
  • Familiarity with the equations of motion and forces
  • Knowledge of electrostatics and electric fields
  • Basic principles of fluid dynamics, particularly viscosity
NEXT STEPS
  • Investigate the effects of varying electric fields on charged particles
  • Explore the relationship between viscosity and charge in fluid dynamics
  • Learn about the principles of ionization in the context of the Milikin drop experiment
  • Research methods for analyzing experimental data, such as regression analysis
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Physics students, laboratory researchers, and educators interested in electrostatics and fluid dynamics, particularly those studying the Milikin drop experiment and its implications in charge measurement.

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Homework Statement



In my honours lab we are performing the Milikin drop experiment, and we've come into a slight problem, where when calculating the radius of the drops and the charge on the drops, the charge seems to vary with change in E-field.

When performing the experiment we first needed to find a charge drop after ionizing a spray of drops by applying an E-field and seeing which drops seem to accelerate in the opposite direction of the field.

When a drop is acquired we use the voltage applied to move the drop to the top and turn off the voltage and first allow the drop to free fall and record its motion downwards. This is what we called the free fall velocity which allows us to calculate the radius of the drop using equation (1)

After a few trials of the free fall we move on to turning on the voltage and record a video of the down velocity and up velocity at the same voltage. Then we change the voltage and do the same, for a few times. Then by knowing our radius we are able to calulate the electro force qE. When plotting a graph of v vs E or v vs potential we are able to view if our data is reliable or not. If viewed reliable we would calculate the values in the following equations


Homework Equations



1. \frac{4\pia^{3}\rho g}{3} = 6\pi a\eta^{'}v


2. \frac{4\pia^{3}\rho g}{3} - qE = 6\pi a\eta^{'}v

\eta^{'} = \frac{\eta}{1+\frac{b}{pa}}

b = 0.00617 torr-cm

p = ambient air pressure

a = radius

eta = viscosity of air

eta prime = effective viscosity of air

rho = density of the oil

q = charge of the drop which should be an interger value

E = electric field

g = gravity

v = velocity of drop

The Attempt at a Solution



The attempt at the solution is in origin, so it's kind of hard to post, but it's more about why the drop seems to change charge with different E-fields, even though it is not colliding with other drops.

Sorry it's kind of long, hope someone can help
 
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I forgot to say that we also found the voltage at which the drop balances in one spot
 

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