What are the equations for trajectory in an E-field?

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SUMMARY

The discussion focuses on the equations governing the trajectory of an electron in a uniform electric field. Key equations mentioned include the kinematic equations: v = u cos(β) + at, v² = (u cos(β))² + 2as, and s = (u cos(β) x t) + 0.5at². The angle β is critical, as it defines the initial velocity components of the electron, which are influenced by trigonometric functions sine and cosine. Understanding these relationships is essential for solving trajectory problems in physics.

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  • Understanding of basic kinematics
  • Familiarity with trigonometric functions (sine, cosine, tangent)
  • Knowledge of electric fields and their effects on charged particles
  • Ability to manipulate equations involving vectors and angles
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  • Study the derivation of kinematic equations in physics
  • Learn about the behavior of charged particles in electric fields
  • Explore the application of trigonometry in physics problems
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Students preparing for physics exams, particularly those focusing on electromagnetism and kinematics, as well as educators seeking to clarify concepts related to trajectories in electric fields.

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Homework Statement



Hello, I have a physics exam on friday. My teacher said one of the questions would be on the TRAJECTORY (of an electron) IN AN E-FIELD. he told us to remember than tanß = sinß / cosß

we haven't used tan, sin or cos during class work. I was hoping someone could give me a clue to what he means.

Thanks
 
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he means that you will need to use tan(beta)
 
yes i know he will give us some form of equation or something to do with tanß
but how is this related to the trajectory in an e field?
 
say a uniform electric field points in the x direction. but the electron enters the E field at a certain speed 30 degrees above the direction of the E field, then you are going to have initial components of velocities that involve sine and cosine
 
So would the equations be:

v = ucosß + at
v^2 = (ucosß)^2 + 2as
s = (ucosß x t ) + .5at^2
?
 

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