Solving Right Hand Rule Homework with Electric & Magnetic Fields

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SUMMARY

The discussion focuses on determining the direction of the magnetic field acting on an electron suspended in both electric and magnetic fields. The Right Hand Rule (RHR) is essential for solving this problem, specifically RHR 1, which relates the force, velocity, and magnetic field. The electromagnetic force equation, ##\vec F = -e(\vec E + \vec v\times \vec B)##, is highlighted as a critical component in understanding the forces at play. A free-body diagram is recommended to visualize the forces acting on the electron.

PREREQUISITES
  • Understanding of electric fields and magnetic fields
  • Familiarity with the Right Hand Rule (RHR) concepts
  • Knowledge of electromagnetic force equations
  • Ability to create and interpret free-body diagrams
NEXT STEPS
  • Study the application of Right Hand Rule 1 in electromagnetic contexts
  • Learn about the properties of electric fields and their interaction with charged particles
  • Explore the mathematical formulation of the Lorentz force law
  • Investigate the role of free-body diagrams in solving physics problems
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone looking to deepen their understanding of electric and magnetic field interactions with charged particles.

jtb93
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Homework Statement


An electron is suspended due to the combination of an electric field and a magnetic field. What is the direction of the magnetic field in this region?

Don't need to solve this, just need to explain the approach to solve it.

Homework Equations


Right hand rule 1- thumb (force), index finger (qV or I), middle finger (magnetic field)
Right hand rule 2- thumb (direction of current), fingers (magnetic field)

The Attempt at a Solution


I assume this is a force problem since there is going to be both magnetic and electric forces acting on the electron. Can I assume that since this is the force problem you'd have to use RHR 1 since it involves force?
 
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Yes it's a force problem ... start with a free-body diagram.
You will need to define "direction" to answer the problem.
The electromagnetic force on the electron is ##\vec F = -e(\vec E + \vec v\times \vec B)## where ##\vec v## is the velocity of the electron.
 

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