Charged particle within an electric field

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SUMMARY

The discussion centers on the behavior of a charged particle within an electric field, specifically addressing the confusion surrounding the application of the equation a=qE/m when the particle's velocity is constant. Participants highlight the relationship between electric fields and electric potentials, noting that the magnetic field's inclusion suggests a balance of forces acting on the particle. The magnetic force's role is emphasized, indicating that it cancels out the electric and gravitational forces, leading to inquiries about its calculation.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with the equation a=qE/m
  • Knowledge of magnetic fields and their effects on charged particles
  • Basic calculus for integrating electric potential
NEXT STEPS
  • Study the relationship between electric potential and electric fields
  • Learn how to calculate magnetic force on charged particles
  • Explore the concept of force balance in charged particle dynamics
  • Investigate the implications of constant velocity in electric and magnetic fields
USEFUL FOR

Students in physics, particularly those studying electromagnetism, educators explaining charged particle dynamics, and anyone seeking to deepen their understanding of electric and magnetic field interactions.

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Homework Statement



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Homework Equations



DON'T KNOW


The Attempt at a Solution



I can honestly say I've never been this confused by a question. At first my mind automatically went to a=qE/m since I have both charge and mass, but it became apparent that the equation was irrelevant because the velocity is constant. I thought it might be possible that I'm supposed to obtain the electric field by taking the integral of the electric potential, but I don't understand how I can get that using the information I have, and I have no sweet clue why the magnitude of the magnetic field is included.
 
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It means the magnetic force exactly cancels the electric force (plus the gravitational force). What's the magnetic force on the ion? :wink:
 

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