SI and Gaussian unit conversion in electrodynamics

In summary, the conversation discusses the differences between SI and Gaussian units in electrodynamics, specifically in terms of factors of 4π in various formulas and the dimensions of electric and magnetic fields. There is a link provided for more information and clarification on the topic.
  • #1
jaobyccdee
33
0

Homework Statement


I am reading about electrodynamics, and in different formula, there is a SI form and a Gaussian form.


Homework Equations


What is the relationship in the different unit system for c or B or E and other relative variables?



The Attempt at a Solution


sometimes there's a difference of 4(pie)/c, sometimes there's only 1/c, but i don't see when is which and which.
 
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  • #2
hi jaobyccdee! :smile:

there's a good overview (but unfortunately no table) in http://en.wikipedia.org/wiki/Gaussian_units#Major_differences_between_Gaussian_and_SI_units

in particular …
One difference between Gaussian and SI units is in the factors of 4π in various formulas. SI is called "rationalized", because Maxwell's equations have no explicit factors of 4π in the formulas. On the other hand, the force laws, Coulomb's law and the Biot–Savart law, do have factors of 4π in them.

In Gaussian units, which are not "rationalized", the situation is reversed: Two of Maxwell's equations have factors of 4π in the formulas, while both of the force laws, Coulomb's law and the Biot–Savart law, have no factors of 4π.​
and
In Gaussian units, unlike SI units, the electric field E and the magnetic field B have the same dimension. This amounts to a factor of c difference between how B is defined in the two unit systems, on top of the other differences​
 
  • #3
thank you!:)
 

FAQ: SI and Gaussian unit conversion in electrodynamics

What are SI and Gaussian units?

SI (Systeme International) units are the standard units of measurement used in the scientific community for physical quantities such as length, mass, time, and electric current. Gaussian units, also known as cgs (centimeter-gram-second) units, are an alternative system of units that are based on the centimeter, gram, and second. They are commonly used in electrodynamics and are based on the fundamental charge, length, and time units.

Why do we need to convert between SI and Gaussian units in electrodynamics?

In electrodynamics, different equations and laws are often expressed in either SI or Gaussian units. Therefore, it is necessary to convert between these units in order to properly apply the equations and ensure consistent and accurate results.

What is the conversion factor between SI and Gaussian units in electrodynamics?

The conversion factor between SI and Gaussian units in electrodynamics is known as the "electromagnetic constant" or "vacuum permeability" and is denoted by the symbol μ. The value of μ is approximately 1.25663706 × 10^-6 N/A^2 in SI units, and 1 in Gaussian units.

How do I convert from SI to Gaussian units in electrodynamics?

To convert from SI to Gaussian units in electrodynamics, simply multiply the SI value by the electromagnetic constant μ. For example, if the electric field strength is given in SI units as 2 N/C, the equivalent value in Gaussian units would be 2 x μ = 2 x 1 = 2 Gaussian units.

Can I use either SI or Gaussian units in electrodynamics?

Yes, both SI and Gaussian units can be used in electrodynamics. However, it is important to ensure that all equations and values are consistently expressed in the same unit system to avoid errors and confusion.

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