Charged basketball, inertia ball and field

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SUMMARY

The discussion centers on the relationship between the electrostatic field energy of a charged basketball and its inertia. It establishes that the electrostatic energy (E) surrounding the charged basketball cannot be directly equated to mass using E = mc², as charge alone does not equate to energy. The conversation highlights that while adding charge can influence the mass due to the mass of electrons, the electric field intensity (E) does not represent energy. Instead, the relevant energy is electric potential energy, which differs from the concept of relativistic mass.

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  • Understanding of electrostatics and electric fields
  • Familiarity with the concept of electric potential energy
  • Basic knowledge of relativity and mass-energy equivalence
  • Concept of charge and its effects on mass
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I was wondering how much I would have to charge a basket ball of mass M, so that I would begin to feel the inertia of the electrostatic field energy. We can calculate the total electrostatic field energy surrounding the charged basket ball, call it E. Can we then equate this energy E with a mass by E = mc^2? So that when the electrostatic energy surrounding the charged basket ball divided by the speed of light squared is a significant fraction of the mass of the basket ball we would notice the basket ball being harder to accelerate then an uncharged basket ball of mass M?

Edit, at the same time that we begin to notice the inertia of the electrostatic field would we also notice the charged ball was harder to spin?

Thanks!
 
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Charge by itself does not equate to energy. If a charge is present in an electric field, then you can say that the charge has electric potential energy, because the electric field has the potential to move the charge (much like a mass has gravitational potential energy, in a gravitational field).

As far as "relativistic mass equivalent" behaving as you describe, I am uncertain, but I am pretty sure that is not the way it works. Photons have energy and can have momentum, yet they are massless.
While adding charge can actually change the mass. Adding electrons to create net negative charge, and taking away electrons to create positive charge. Electrons do have a mass associated with them. Just something to think about.
 
E near a charged ball will represent ELectric Field Intensity which is not Energy. So it can't be equated in energy. E or V are just two different visualisations of behavior of space around a charge (Region is called Electric Field).

Energy here will be electric potential energy as scottdave said. But I'm not into relativity so can't figure out the last part.

Regards.
 

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