How Do Weight and Magnetic Force on an Electron Compare Near Earth's Surface?

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SUMMARY

The discussion focuses on comparing the weight of an electron and the magnetic force exerted on it by Earth's magnetic field. The weight of the electron is calculated using the formula Weight = mg, where m is the mass of the electron and g is the acceleration due to gravity. The magnetic force is determined using Magnetic Force = qvB, with q as the charge of the electron, v as its velocity, and B as the magnetic field strength, which is given as B = 10^-5 T and v = 10 m/s.

PREREQUISITES
  • Understanding of basic physics concepts such as force, mass, and acceleration.
  • Familiarity with electromagnetic theory, specifically the Lorentz force law.
  • Knowledge of the properties of electrons, including charge and mass.
  • Basic mathematical skills for calculating forces and understanding units of measurement.
NEXT STEPS
  • Calculate the weight of an electron using Weight = mg with m = 9.11 x 10^-31 kg and g = 9.81 m/s².
  • Determine the magnetic force on the electron using Magnetic Force = qvB with q = 1.6 x 10^-19 C, v = 10 m/s, and B = 10^-5 T.
  • Explore the implications of the electron's motion in magnetic fields and how it relates to particle physics.
  • Research the effects of varying magnetic field strengths on charged particles.
USEFUL FOR

Students and educators in physics, researchers in electromagnetism, and anyone interested in the behavior of charged particles in magnetic fields.

kidia
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How can I Compare the magnitudes near the earth’s surface of the weight of an electron and a typical magnetic force exerted by the earth’s magnetic field (B = 10-5T) on an electron with speed 10 m/s.

As I understood Weight of electron = mg
Magnetic force=qBv

am I right?
 
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Sounds good to me. (Note that magnetic force = qvB assumes that the electron's velocity is perpendicular to the magnetic field.)
 

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