Why Is the Conversion Between CGS and SI Units in Electromagnetism Confusing?

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SUMMARY

The conversion between CGS and SI units in electromagnetism is defined by the relationship between vacuum permeability and the units of magnetic field strength. In CGS, vacuum permeability is unity (1), leading to the use of Oersted for magnetic field strength (H), while in SI, vacuum permeability is defined as (4 x π x 10^-7) H/m, using Amperes per meter for H. The conversion factor of 1000/(4 x π) arises from the definitions of these units and cannot be derived algebraically; it is a matter of unit definition.

PREREQUISITES
  • Understanding of CGS and SI unit systems
  • Familiarity with electromagnetism concepts, specifically magnetic field strength
  • Basic knowledge of vacuum permeability
  • Ability to perform unit conversions
NEXT STEPS
  • Research the definition and implications of vacuum permeability in both CGS and SI units
  • Study the relationship between magnetic field strength and current in different unit systems
  • Learn about the historical context of unit definitions in electromagnetism
  • Explore practical applications of unit conversions in electromagnetism experiments
USEFUL FOR

Students and professionals in physics, electrical engineering, and anyone involved in the study or application of electromagnetism who seeks clarity on unit conversions between CGS and SI systems.

Alireza_M
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Dear friends,

As you know, in CGS units we have vacuum permeability as unity (1). so H=B and we use Oersted for H.
on the other hand, in SI, permeability is (4 x pi x 0.0000001) and we use Ampere per meter for H. unfortunately after trying for couple hours, I couldn't derive the algebra of converting these to each other. everywhere they simply say just multiply 1000/(4 x pi) to amper per meter. but why? and how to derive this conversion coefficient?

I know that cgs is cm gram second and si is meter kilogram second and i know how to convert these, but when amperes come into play and when the formulas are different in a coefficient, I just get confused.

I apologies in advance if this looks ridiculous.
 
Thread moved to General Physics, where more people might see it.
 
Alireza_M said:
everywhere they simply say just multiply 1000/(4 x pi) to amper per meter. but why? and how to derive this conversion coefficient?
You cannot derive it. It is just a definition. There is no deeper reason besides the fact that is how the SI units are defined.
 

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