Point charges and their movement in 3 space

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SUMMARY

The discussion focuses on the interaction between two equal point charges, q, located at (0,0,0) and (0,b,0), moving with speed v in the positive direction. The main objective is to determine the ratio of the magnitudes of the magnetic force to the electrostatic force acting on each charge. The electrostatic force can be calculated using Coulomb's law, while the magnetic force arises due to the motion of the charges, necessitating the application of the Biot-Savart law or the Lorentz force equation to derive the magnetic field produced by moving charges.

PREREQUISITES
  • Understanding of Coulomb's law for electrostatic force calculations.
  • Familiarity with the Biot-Savart law for magnetic field calculations.
  • Knowledge of the Lorentz force equation for determining magnetic forces on charges.
  • Basic algebra skills for manipulating equations and ratios.
NEXT STEPS
  • Study the derivation of Coulomb's law and its application to moving charges.
  • Learn about the Biot-Savart law and how it applies to point charges in motion.
  • Explore the Lorentz force equation and its implications for charged particles in magnetic fields.
  • Investigate the concept of electromagnetic fields and their interactions with moving charges.
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators seeking to clarify the relationship between electric and magnetic forces in dynamic systems.

Ic3Blu3
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Hey all this question appeared on my last assignment that was due on friday and had me completely stumped for the entire week and well still does, i couldn't even get off the ground (im not very good with these algebra questions) . anyway in the interests to doing my very best on my midterm exam I've come here in search of help.

Homework Statement



Two equal charges q located at (0,0,0) and (0,b,0) at time zero are moving with speed v in the positive direction (v<<c). Find the ratio of the magnitudes of the magnetic and electrostatic force on each.



any help with this question would be much appreciated a starting point or a walk through of how to obtain the final result because i can't find anything on this in tipler. thankyou
 
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i think I've made some progress but i know that the magnitude of the electrostatic force is
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but how is this equation altered when a velocity is applied to it ?
 
well for the purposes of this question, the velocity since it is the same does not enter the equation you have posted.

Magnetic force completely different. Particles at rest, no magnetic interaction. so can you post an eqn or two that is concerned with magnetic fields, forces.
 
When the charges are at rest, the only force between them is the electrostatic force. But when the charges move with a velocity then a magnetic field is produced around them.
 

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