Electric Potential: Positive/Negative Charge

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Electric potential is defined by the relative positions of points A and B, with A being at a higher potential than B, but this does not imply that positive potential indicates a positive charge or negative potential indicates a negative charge. In a scenario with only one electron, an electric field and potential exist without any positive charges, demonstrating that potential can exist independently of charge. Additionally, electric fields and potentials can be contemplated without the presence of charges, although this view may be seen as controversial. Examples include the electric field around a single charge at a distance and electromagnetic waves propagating away from their source. Understanding these concepts requires careful consideration of the nature of potential in both static and dynamic contexts.
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We say that if pint A is at a higher potential than point B, A is at positive potential and B is at negative potential. Does it necessarily follow that a point at positive potential is positively charged, or that a point at negative potential is negatively charged? Why?
 
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The simple way to answer this is to consider a universe containing only one electron. Here there will be an electric field and a potential, but no positive charges. You can reverse the argument using a lone proton.

Another aspect of this is that you can contemplate electric fields and potentials without charges. Some people could say this is dubious because charges and currents are the sources of electric and magnetic fields. But, at least locally we can have electric field and potential without charge. Two examples are the single charge case given above (far from the charge), and electromagnetic waves far from the source. Note that the first case can be static, but the second case must be dynamic which requires more careful consideration of the meaning of potential.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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