Calculating Velocity of Electrons in Electric Field

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SUMMARY

The discussion focuses on calculating the y-component of velocity (v_y) of electrons moving through a constant electric field (E) in a two-plate conductor setup. The derived formula for v_y is v_y = (e * E * L) / (m_e * v_0), where e represents the charge of the electron, m_e is the mass of the electron, and L is the length of the electric field. The relationship between time, acceleration, and the initial velocity (v_0) is crucial for understanding how electrons gain velocity in the y-direction while traversing the electric field.

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  • Understanding of classical mechanics, specifically kinematics equations.
  • Familiarity with electric fields and forces on charged particles.
  • Knowledge of the properties of electrons, including charge (e) and mass (m_e).
  • Basic algebra for manipulating equations and solving for variables.
NEXT STEPS
  • Study the derivation of kinematic equations in physics.
  • Explore the effects of electric fields on charged particles in more complex scenarios.
  • Learn about the principles of electromagnetism, particularly Lorentz force law.
  • Investigate the behavior of electrons in various materials and their applications in electronics.
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Students studying physics, particularly those focusing on electromagnetism and kinematics, as well as educators looking for clear examples of electron behavior in electric fields.

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Homework Statement


Electrons with the speed v0 move through a constant electronic field E of length L
(A two plate conductor)

In the electric field the particle have gained a velocity component in y-direction
Show that this y-component is:


[itex]v_y=\frac{e*E*L}{m_e*v_0}[/itex]

Tip: [itex]s=v_0*t+1/2*a*t^2, v=v_0+a*t, a=F/M[/itex]

The Attempt at a Solution


I would think is has something with how much time the electron has to respond to the field in a y-direction. How much time does the electron use trough the field etc… but that’s hardly a guess…
 
Last edited:
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...and that time would probably be represented by the L/Vo term in the Vy equation...
 

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