Vacuum Permeability: SI Base Units, Amps-2 Power

In summary: So, the units are correct.In summary, we discussed the correct units for vacuum permeability, which are 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. We also looked at different ways to express these units and found that they all reduce to the basic SI units of kg m s^-2 A^-2. Finally, we talked about how to determine the correct units by looking at the equation that relates them to other quantities.
  • #1
Dr L
10
0
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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  • #2
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.
 
  • #3
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
 
  • #4
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
[tex]kg \ m \ s^{-2} \ A^{-2} [/tex]

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.
 
  • #5



I can confirm that the units listed for vacuum permeability are correct. The SI base units for vacuum permeability are H•m−1 or A2•s-2•kg•m. These units represent the magnetic constant, which is a fundamental constant in physics that relates to the strength of the magnetic field in a vacuum. There is no issue with the units provided, and they are commonly used in scientific literature.

Regarding the question about the SI base units, I can confirm that A2·s4·kg−1·m−3 is not the correct unit for vacuum permeability. This unit represents the magnetic susceptibility, which is a different physical quantity. The SI base units for vacuum permeability are H•m−1 or A2•s-2•kg•m, as mentioned before.

In terms of the question about (Amps)-2 power, this notation is commonly used to represent the inverse square of amperes, which is the unit of electric current. This is also known as the unit "per ampere squared" or "per ampere to the power of 2." Therefore, there is no issue with using this notation for vacuum permeability, as it is a common convention in scientific notation.

In conclusion, there is nothing wrong with the units provided for vacuum permeability, and they are in accordance with the SI base units. However, it is important to use the correct notation to avoid confusion and accurately represent the physical quantity being measured.
 

What is vacuum permeability?

Vacuum permeability, also known as the magnetic constant, is a physical constant that describes the strength of the magnetic field in a vacuum. It is denoted by the symbol μ0 and has a value of approximately 4π x 10^-7 H/m.

What are the SI base units for vacuum permeability?

The SI base units for vacuum permeability are amps-2 power, or A^2.

What is the significance of vacuum permeability in physics?

Vacuum permeability is an important constant in electromagnetism and plays a crucial role in understanding the behavior of electric and magnetic fields in a vacuum. It is used in equations such as Ampere's law and the Biot-Savart law.

How is vacuum permeability measured?

Vacuum permeability can be measured experimentally using various techniques, such as the Cavendish balance or the magnetic force exerted on a wire by a current-carrying coil.

Is the value of vacuum permeability constant?

Yes, the value of vacuum permeability is a constant and does not change in different conditions or locations. However, it is important to note that the value may differ slightly in non-vacuum environments due to the presence of materials with magnetic properties.

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