Calculating Magnetic Force & Accel. of an Electron in VT

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SUMMARY

The discussion focuses on calculating the magnetic force and acceleration of an electron in Vermont's magnetic field, characterized by a dip angle of 74 degrees and a parallel component of 0.16G (0.16 x 10-4T). An electron, with a mass of 9.1 x 10-31 kg, is projected vertically upward at a speed of 106 m/s. The magnetic force acting on the electron is determined using the equation F = qv x B, where q represents the charge of the electron. The discussion also explores the scenario where the electron is shot horizontally northward, requiring recalculation of the force and acceleration.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically Lorentz force.
  • Familiarity with vector cross products in physics.
  • Knowledge of basic kinematics and dynamics.
  • Ability to convert units, particularly between Gauss and Tesla.
NEXT STEPS
  • Study the Lorentz force equation in detail, focusing on its application to charged particles in magnetic fields.
  • Learn about the conversion between Gauss and Tesla for magnetic field strength.
  • Explore the effects of magnetic fields on moving charges, including directionality and magnitude of forces.
  • Investigate the implications of dip angles in magnetic field calculations.
USEFUL FOR

Physics students, educators, and anyone interested in electromagnetism, particularly in the context of particle motion in magnetic fields.

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Homework Statement



In Vermont the dip angle for the Earth's magnetic field(the angle the field lines make with the horizontal) is 74 degree and the component of the field parallel to the Earth's surface is 0.16G. If an electron is shot with a speed 10^6 m/s vertically upward there, how large a force acts on the electron and what is the direction of the force? How large an acceleration will this force cause?

Repeat the problem if the electron is shot horizontally northward.

mass of electron = 9.1 x 10^(-31) kg and 1G=10^(-4)T

Homework Equations





The Attempt at a Solution



some hints to get me started. Thanks.
 
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Try using F = qv x B
 

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