Is the Definition of Amperes and Epsilon0 Arbitrary?

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Discussion Overview

The discussion revolves around the definitions of the Ampere and the permittivity of free space (Epsilon0), exploring whether these definitions are arbitrary, particularly in relation to the charge carriers (electrons vs. protons) and the implications for electric current and electric fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the Ampere being defined in terms of electrons per second is arbitrary and could just as well be defined in terms of protons per second, with implications for Epsilon0 remaining unchanged.
  • Another participant clarifies that the Ampere is defined as a Coulomb of charge per second, emphasizing that the sign of the charge is not relevant to the definition.
  • It is noted that historically, the direction of current was assumed to be from positive to negative, despite electrons being the primary charge carriers.
  • A participant states that the Ampere is defined based on the magnetic force between two parallel wires, providing a different perspective on its definition.
  • There is a discussion about the direction of current flow being defined as positive charge flow, while in practice, it is often the electrons that move, leading to confusion about the nature of current.
  • A later reply questions whether the direction of the electric field is also arbitrary, drawing a parallel to the discussion about charge flow direction.

Areas of Agreement / Disagreement

Participants express differing views on the arbitrariness of the definitions of the Ampere and the direction of electric fields, with no consensus reached on these points.

Contextual Notes

Some participants highlight historical assumptions about charge flow and the definitions of electrical quantities, indicating that these definitions may depend on context and historical understanding.

diagopod
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Learning about the nature of current, the Ampere and its role in Epsilon0. I'm assuming that the fact that the Ampere is defined in terms of electrons per second is arbitrary and that it could just as well have been protons per second? And if it had been protons per second, then Epsilon0 would still have the same value and sign because it makes use of Amperes squared, which will come out positive regardless of whether or not Amperes are defined in terms of negative or positive charge per unit time. Is this true?
 
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Ampere is not defined (yet, it's been proposed) in terms of electrons per second. An Ampere is defined as a Coulomb of charge per second.

It's a quantity of charge; the sign of the charge isn't relevant. In fact, when it was defined they still assumed charged flowed from positive to negative, and didn't know that electrons were the primary charge carriers, or the fact that charge comes in discrete quantities.
 


What alxm said +

By the definition positive current direction is the direction of positive charge flow. However, like alxm said, it turned out that in most case it is the electrons that are moving and making the current. So the current is kinda "negative". Normally, people speak about current absolute value and indicate the direction. Check Khirhoff's rules and their application.
 


alxm said:
Ampere is not defined (yet, it's been proposed) in terms of electrons per second. An Ampere is defined as a Coulomb of charge per second.

It's a quantity of charge; the sign of the charge isn't relevant. In fact, when it was defined they still assumed charged flowed from positive to negative, and didn't know that electrons were the primary charge carriers, or the fact that charge comes in discrete quantities.

that makes perfect sense, thanks for the clarification alxm
 


zeebek said:
What alxm said +

By the definition positive current direction is the direction of positive charge flow. However, like alxm said, it turned out that in most case it is the electrons that are moving and making the current. So the current is kinda "negative". Normally, people speak about current absolute value and indicate the direction. Check Khirhoff's rules and their application.

Thanks, yeah, the bit about positive and negative current has always thrown me - absolute value to the rescue :)
 


alxm said:
Ampere is not defined (yet, it's been proposed) in terms of electrons per second. An Ampere is defined as a Coulomb of charge per second.

Actually, the ampere is defined in terms of the magnetic force between two long straight parallel wires. If the wires have equal magnitude currents, and are exactly 1 m apart, and the magnetic force between them is [itex]4\pi \times 10^{-7}[/itex] Newtons per meter of wire length, then the current in each wire is exactly 1 ampere.

The coulomb is defined in terms of the ampere, as the amount of charge delivered by a current of one ampere in one second.
 


zeebek said:
By the definition positive current direction is the direction of positive charge flow. However, like alxm said, it turned out that in most case it is the electrons that are moving and making the current.

Blame Benjamin Franklin for guessing wrong about the direction of flow of "electric fluid" when rubbing two objects together to charge them. :smile:
 


jtbell said:
Blame Benjamin Franklin for guessing wrong about the direction of flow of "electric fluid" when rubbing two objects together to charge them. :smile:

Thanks. Would you say it's also arbitrary the direction of the electric field, as in the direction of the arrows we see in field lines diverging from positive charges and converging on negative ones, or is that different?
 

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