Distance for charge to travel through magnetic field

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SUMMARY

The discussion focuses on calculating the distance a charged particle, specifically an electron or proton, travels through a magnetic field after being accelerated between charged plates. The relevant equation for determining the radius of the arc is given by the formula r = mv / |q|B, where m is the mass of the particle, v is its velocity, q is the charge, and B is the magnetic field strength. The dimensions of the magnetic field are specified as 10cm x 10cm, and the challenge lies in determining the vertical displacement of the particle as it exits the field. The user seeks clarification on how to apply this formula effectively to find the exit point.

PREREQUISITES
  • Understanding of basic physics concepts related to charged particles and magnetic fields
  • Familiarity with the equation r = mv / |q|B for circular motion in magnetic fields
  • Knowledge of the properties of electrons and protons, including their masses and charges
  • Ability to visualize and interpret motion in a two-dimensional plane
NEXT STEPS
  • Calculate the radius of the arc for both the electron and proton using the formula r = mv / |q|B
  • Research the effects of varying magnetic field strengths on particle trajectories
  • Explore the concept of Lorentz force and its impact on charged particle motion
  • Learn about the geometry of projectile motion to better understand the exit point calculation
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators and anyone interested in the dynamics of charged particles in magnetic fields.

bluedevil09
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Homework Statement


In the diagram below, an elementary charge (either an electron or a proton, you decide) is accelerated between two charged plates into a magnetic field. The mass of the proton = 1.67x10^-27 kg. The mass of an electron = 9.11x10^-31 kg.

D. Find the distance from the entrance point to where the charge

Homework Equations




The Attempt at a Solution



I know that the electron is going to arc up while going through the field, but I don't know how to find how much it arcs up and therefore the point at which it exits. FYI, the field is 10cm x 10cm, and starts right after the proton moves through the hole in the plate. How do I figure it out from here? Is there a way to figure out how far up the proton will move vertically? If so, I could draw a triangle and find the distance to where it exits
 
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If the velocity is perpendicular to the magnetic field you can find the radius of the arc by mv / |q|B

Not sure if this is the right approach but it might help.
 

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