Moving charged particle and its magnetic field

AI Thread Summary
A moving, electrically charged object, such as a foam ball, generates a magnetic field based on its charge and velocity. The Biot-Savart law describes this relationship, incorporating factors like the permeability of free space and the position vector from the charge to the observation point. Both electrons and ions can be considered analogous to the foam ball in this context, as they also create magnetic fields when in motion. The properties of the magnetic field are determined by the charge's magnitude, its velocity, and the distance from the charge to the point of observation. Understanding these principles is fundamental in basic physics and can be found in standard textbooks.
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What kind of magnetic field does a moving, electrically charged foam ball create? What are the relevant variable determining the properties of the magnetic field? Its charge? velocity? (Assume it's in space and charge is in the shape of a point)

Are electrons or ions analogous to this foam ball?
 
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Any moving point charge creates a magnetic field, whether it is an electron, ion, or foam ball. The formula (called the Biot-Savart law) is given by:
B of a charge formula.jpg
The constant in front is the permeability of free space divided by 4 pi, and is equal to 10^(-7) T.m/A. q is the charge in coulombs, the vector v is the velocity of the charge, vector r is the position vector from the charge to the point in space where you want to find the magnetic field, and r in the denominator is just the magnitude of the vector r. You will find this in any textbook on basic physics
 
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