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Exercise:
In order to determine the elementary charge Robert Millikan observed charged oil droplets in the electric field between two parallel plates. For each droplet he measured the terminal velocity v_ of the droplet descing in the absence of an electric field and the terminal velocity v_ while it was ascing in the ascing field. abcliste abc Show that the charge q of an oil droplet is given by the q E fracpi left frac eta right^/ left fracg rho_O-rho_A right^/ v_^/ left v_ + v_ where eta is the viscosity of air g the free fall acceleration and rho_O and rho_A are the densities of oil and air respectively. abc In his experiment Millikan used oil with a density rhOO. The density and viscosity of the air were rhAO and etAO respectively. The electric field was produced by applying a voltage dVO to plates with a distance dO. For a speciic droplet he measured velocities v_vaO and v_vbO. Calculate the charge of this oil drop and the ratio of its charge to the elementary charge. abcliste

Solution:
q qe
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Exercise:
In order to determine the elementary charge Robert Millikan observed charged oil droplets in the electric field between two parallel plates. For each droplet he measured the terminal velocity v_ of the droplet descing in the absence of an electric field and the terminal velocity v_ while it was ascing in the ascing field. abcliste abc Show that the charge q of an oil droplet is given by the q E fracpi left frac eta right^/ left fracg rho_O-rho_A right^/ v_^/ left v_ + v_ where eta is the viscosity of air g the free fall acceleration and rho_O and rho_A are the densities of oil and air respectively. abc In his experiment Millikan used oil with a density rhOO. The density and viscosity of the air were rhAO and etAO respectively. The electric field was produced by applying a voltage dVO to plates with a distance dO. For a speciic droplet he measured velocities v_vaO and v_vbO. Calculate the charge of this oil drop and the ratio of its charge to the elementary charge. abcliste

Solution:
q qe
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Attributes & Decorations
Branches
Electrostatics
Tags
drag, electric field, electron, elementary charge, equilibrium, stokes, viscosity
Content image
Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration