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The wheel has an overall neutral charge. Does this change whether it emits anything from these charges rotating? If we are modeling thing with classical electr
by drdeca 5y ago
The wheel has an overall neutral charge. Does this change whether it emits anything from these charges rotating?
If we are modeling thing with classical electromagnetism (I don’t understand enough to attempt to apply quantum mechanics to this), we can treat point charges as having a Dirac delta function for their charge density function.
If you take linear combination of Dirac delta functions, with each having a positive or negative coefficient, and these being roughly evenly spaced out in a fixed region (e.g. the wheel shape), and take the limit as the magnitude of the coefficients goes to zero while the number of deltas goes to infinity (with the two being inversely proportional),
shouldn’t the correspond signed measure converge to the zero measure, so, a charge density function of zero?
So, shouldn’t a macroscopic object (which has a very large number of atoms) be well approximated as having zero charge density?
Of course, this is only an approximation, it doesn’t have exactly zero net effect on the electric field,
but if it is a good approximation, especially at a distance, I would think that would suggest that such an object accelerating should produce at least less EM radiation than a similar object with a large net charge?
But, I’m reasoning heuristically atm, and am not being especially careful, so I could very well be wrong here.