How Does a Charged Particle Move Between Oppositely Charged Plates?

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SUMMARY

The discussion centers on the motion of a charged particle between two oppositely charged plates, specifically a particle with a mass of 2.00 x 10^-16 kg and a charge of 1.00 x 10^-6 C in a uniform electric field of 2000 N/C. The particle is projected from the bottom plate at an initial speed of 1.00 x 10^5 m/s at a 37-degree angle. The trajectory is influenced by the downward electric field, resulting in a parabolic path that ultimately leads the particle to strike the upper positive plate. Calculating the vertical and horizontal components of the velocity, as well as using kinematic equations, will provide the necessary insights into the particle's maximum height, time of flight, and impact location.

PREREQUISITES
  • Understanding of electric fields and forces on charged particles
  • Knowledge of kinematic equations for projectile motion
  • Ability to decompose vectors into horizontal and vertical components
  • Familiarity with basic concepts of mass and charge in physics
NEXT STEPS
  • Calculate the vertical and horizontal components of the particle's initial velocity
  • Apply kinematic equations to determine the maximum height of the particle
  • Determine the time of flight until the particle strikes the upper plate
  • Analyze the range of the particle's motion relative to its starting point
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and projectile motion, as well as educators seeking to clarify concepts related to charged particle dynamics in electric fields.

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Homework Statement


Two horizontal metal plates, each 100 mm square, are aligned 10 mm apart, with one above the other. They are given equal-magnitude charges of opposite sign so that a uniform downward electric field of 2000 N/C exists in the region between them.
A particle of mass 2.00 X 10^-16 kg and with a positive charge of 1.00 X 10^-6 C leaves the center of the bottom negative plate with an initial speed of 1.00X 10^5 m/s at an angle of 37 degrees above the horizontal.
a) Describe the trajectory of the particle.
b) Which plate does it strike?
c) Where does it strike, relative to its starting point?


Homework Equations





The Attempt at a Solution


So firstly, I found the acceleration, which is -1X10^13 m/s^2. So that means that the trajectory first approaches the positive plate and then the acceleration pulls in down towards the positive plate. Does this make sense?
And for b) and c)...I don't know where to start...
 
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The particle describes the projectile motion.
Find the vertical and horizontal components of the velocity of the projection.
Using the kinematic equations, find maximum height reached, time of flight and range of the particle.
 

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