SI and Gaussian unit conversion in electrodynamics

Click For Summary
SUMMARY

The discussion focuses on the differences between SI and Gaussian unit systems in electrodynamics, particularly regarding the constants and factors involved in various equations. Key distinctions include the presence of factors of 4π in Gaussian units versus their absence in SI units, which is termed "rationalized." Additionally, the electric field (E) and magnetic field (B) share the same dimension in Gaussian units, leading to a factor of c difference in their definitions. Understanding these differences is crucial for correctly applying Maxwell's equations and force laws in electrodynamics.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with SI and Gaussian unit systems
  • Knowledge of electric and magnetic field concepts
  • Basic grasp of constants like the speed of light (c)
NEXT STEPS
  • Research the implications of 4π factors in electrodynamics
  • Study the derivation of Maxwell's equations in both SI and Gaussian units
  • Explore the relationship between electric field (E) and magnetic field (B) in different unit systems
  • Examine practical applications of SI and Gaussian units in physics problems
USEFUL FOR

Students of physics, particularly those studying electrodynamics, educators teaching unit systems, and researchers needing clarity on unit conversions in electromagnetic theory.

jaobyccdee
Messages
33
Reaction score
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.
 
Physics news on Phys.org
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​
 
thank you!:)
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K