Vacuum Permeability: SI Base Units, Amps-2 Power

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    Permeability Vacuum
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Discussion Overview

The discussion revolves around the units of vacuum permeability, specifically examining their representation in SI base units and whether the expressions provided are correct. Participants explore various formulations and seek clarification on the appropriate notation and equivalences.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant lists several expressions for vacuum permeability and questions their correctness.
  • Another participant suggests referring to Wikipedia for additional representations of the units.
  • There is a repeated inquiry about the correctness of the SI base units, specifically whether they should be expressed as (Amps)-2 power.
  • A participant provides a breakdown of the basic SI units for vacuum permeability, indicating kg, m, s, and A, and suggests checking if other expressions reduce to this form.
  • Discussion includes the relationship between magnetic induction and permeability, hinting at the need for an equation to clarify the units.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the correctness of the units and whether they align with SI base units. Multiple viewpoints exist on how to represent these units, and the discussion remains unresolved.

Contextual Notes

Limitations include potential misunderstandings of unit representations and the need for clarity on the reduction of units to basic forms. Participants do not reach a consensus on the correct expression of vacuum permeability.

Dr L
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I got the following for the units of Vacuum permeability:

H•m−1 A2•s-2•kg•m T•m•A-1 N•A−2 V•s•A-1•m-1
Wb•A-1•m-1

Does anyone see anything wrong with these units?

Are the SI base units correct?
A2·s4·kg−1·m−3 in SI base units

Should it be (Amps)-2 power?
 
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It is hard to read those units (HTML removes multiple whitespace unless you use
Code:
 tags or something similar). Anyway, see [url=http://en.wikipedia.org/wiki/Vacuum_permeability]Wikipedia: Vacuum permeability[/url] for some ways to express those units.
 
H•m−1
A2•s-2•kg•m
T•m•A-1
N•A2
V•s•A-1•m-1
Wb•A-1•m-1

I got these from Wiki but want to know if they are correct
 
Dr L said:
Are the SI base units correct?
A2·s4·kg−1·m−3 in SI base units

Should it be (Amps)-2 power?

In basic SI units it is
kg \ m \ s^{-2} \ A^{-2}

For the rest, you can easily check the units to see if they reduce to the same expression in basic units. But you don't have to. Just try to find the equation that provides the unit.
For example, if you look at the magnetic induction of the current loop and express the permeability as a function of the other quantities, you find T m /A.
 

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