Calculating vertical displacement of an electron (millikan's experiment)

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SUMMARY

The discussion focuses on calculating the vertical displacement of an electron in Millikan's experiment, where an electron with a horizontal speed of 8.7 x 106 m/s enters an electric field of 1.32 x 103 N/C between two horizontal plates spaced 8 cm apart. The vertical displacement can be determined using Newton's second law, where the force acting on the electron is derived from the electric field. The horizontal speed remains constant while the electron experiences vertical acceleration towards the positively charged plate.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with electric fields and forces
  • Basic knowledge of projectile motion
  • Concept of charge and mass of an electron
NEXT STEPS
  • Calculate the vertical acceleration of the electron using F = ma with the electric field
  • Determine the time the electron spends between the plates using horizontal speed and distance
  • Use kinematic equations to find the vertical displacement during the time of travel
  • Explore the implications of electric fields on charged particles in motion
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of charged particles in electric fields, particularly in experimental setups like Millikan's oil drop experiment.

KWL
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this one question has got me confused...any help/hint would be appreciated.

an electron is traveling horizantally at a speed of 8.7*10^6 m/s enters an electric field of 1.32*10^3 N/C between two horizantal plates (shown below)
+ ___________________

e- ---->

- ___________________

The horizantal plates are each 14.0 cm and are distanced 8 cm from each other.

I need to calculate the vertical displacement of the electron as it travels between the plates.
 
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The electron is accelerated at a constant rate by the electric field. It's a simple matter to find its trajectory - mass times acceleration = charge times e-field.
 
if it helps, think of it as a regular projectile trajectory with the only force acting on the electron being vertical.The horizontal component of the speed stays the same, and it's accelerated towards the positively charged plate. the acceleration is given by Newton's second law according to Tide's post.
 

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