Solving Gauss' Law Electromag Question w/ 100V Battery

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SUMMARY

The discussion revolves around solving a physics problem involving a 100V battery connected to two parallel plates, creating an electric field of E=10^4 NC^-1. The force on an electron in this field is calculated using F=qE, resulting in a force of -1.6x10^-15 N, which is significantly greater than the weight of the electron (8.94x10^-30 N). This indicates that the electron will move upward due to the electric field. The second part of the problem requires determining the trajectory of the electron projected with an initial horizontal velocity, suggesting the use of projectile motion formulas.

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  • Understanding of electric fields and forces (F=qE)
  • Knowledge of basic mechanics and projectile motion
  • Familiarity with the properties of an electron (charge and mass)
  • Ability to apply kinematic equations in two dimensions
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  • Explore the concept of trajectory analysis in two-dimensional motion
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Electromag Question

Homework Statement



When the terminals of a 100V battery are connected to two large parallel horizontal plates 1 cm apart the electric field E between them has a magnitude of E=10^4 NC^-1, and is directed upward. Compute the force on the electron in the field and compare it with the weight of the electron.

[charge on an electron = -1.6x10^-19, mass of electron =9.11x10^-31kg]

If the electron were projected into the field with an initial horizontal velocity V0, find the equation of its trajectory of the form y=f(x) (take y vertical and x horizontal).


The Attempt at a Solution



I have a solution to the first part using the formula: F=qE, I found f = -1.6x10^-15.
I then wored out the weight using w=mg, getting 8.94x10^-30 N. I compared this and explained that as F is vastly bigger than W the object will move upwards rather than downwards towards gravity.

However I have no clue on how to do the second part, please help.
 
Last edited:
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This is just like throwing a ball horizontally, and asking for the path it follows (except the electron "falls" up, because of the electric field). Just look up all those formulas from mechanics.
 
So are you basically saying I should use the projetile motion formulas?
 

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