Gausses Law Question

  • #1
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 verticle 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:

Answers and Replies

  • #2
Avodyne
Science Advisor
1,396
87
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.
 
  • #3
So are you basically saying I should use the projetile motion formulas?
 

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