Electric Potential: Solving for Time w/ E, V, & X

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SUMMARY

The discussion focuses on calculating the time it takes for an electron to traverse a region with a vertical electric field (X V/m) while maintaining a horizontal initial speed (v m/s). The participant references the equation E = -ΔV/Δs, which relates electric field strength to voltage and distance but lacks variables for velocity or time. The Lorentz Force is suggested as a relevant concept to explore further in solving the problem.

PREREQUISITES
  • Understanding of electric fields and their representation in volts per meter (V/m).
  • Familiarity with the Lorentz Force equation and its application in electromagnetism.
  • Basic knowledge of kinematics, particularly equations of motion involving velocity and time.
  • Proficiency in manipulating equations involving electric potential and distance.
NEXT STEPS
  • Study the Lorentz Force equation and its implications for charged particles in electric fields.
  • Learn how to derive time of flight for charged particles in uniform electric fields.
  • Investigate the relationship between electric potential difference and kinetic energy for electrons.
  • Explore kinematic equations that incorporate both horizontal and vertical motion in physics.
USEFUL FOR

Students in physics, particularly those studying electromagnetism and kinematics, as well as educators looking for examples of electric field applications in particle motion.

mitch45
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I'm not asking anyone to solve my homework for me but I am stuck on this problem.

The problem includes finding the time is takes for an electron with a horizontal initial speed v m/s to make it through a region with an electric field X V/m pointing vertically upward.

One equation I found that could be useful is E = - [tex]\Delta[/tex]V/[tex]\Delta[/tex]s . This includes the electric field and the distance that the electron travels in the problem but does not include velocity or distance. I have been searching for some link in equations or way to substitute but I am honestly stuck. Any help would be appreciated!
 
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Take a look at the Lorentz Force.
 

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