Point charges and their movement in 3 space

AI Thread Summary
The discussion revolves around understanding the forces acting on two equal charges moving in three-dimensional space. The main focus is on calculating the ratio of the magnetic force to the electrostatic force when the charges are in motion. Participants highlight that while the electrostatic force can be calculated using Coulomb's law, the introduction of velocity requires consideration of magnetic fields generated by the moving charges. It is emphasized that at rest, only electrostatic forces are present, but motion introduces magnetic interactions. The thread seeks equations and guidance for deriving the final results related to these forces.
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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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