Why we use relative permeability

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SUMMARY

The discussion centers on the necessity of using relative permeability in electromagnetism, particularly in the context of transformers. Relative permeability, denoted as ##\mu_r##, is essential for understanding how magnetic fields interact with materials, as it reflects the material's response to an applied magnetic field. Absolute permeability, represented as ##\mu=\mu_0 \mu_r##, includes a conversion factor that complicates the relationship between magnetic field strength and magnetic flux density. Theoretical insights reveal that relative permeability simplifies calculations and provides a clearer understanding of magnetic properties in materials.

PREREQUISITES
  • Understanding of electromagnetism principles
  • Familiarity with magnetic field concepts, including ##\vec B## and ##\vec H##
  • Knowledge of SI and c.g.s. unit systems
  • Basic comprehension of linear-response theory in materials science
NEXT STEPS
  • Study the derivation of relative permeability in different materials
  • Explore the role of relative permeability in transformer design
  • Investigate the differences between SI and c.g.s. units in electromagnetism
  • Learn about linear-response theory and its applications in material science
USEFUL FOR

Students and professionals in electrical engineering, physicists studying electromagnetism, and anyone involved in the design and analysis of magnetic materials and devices such as transformers.

janu203
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Why we use relative permeability if we have absolute
permeability in electromagnetism?
 
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Because it's easier ?
Perhaps you want to show some examples where you think different ?
 
BvU said:
Because it's easier ?
Perhaps you want to show some examples where you think different ?
I am more concerned regarding the theoretical aspect. Why cannot we just take absolute permeability of any material? In fact i have started reading about transformers and there i found relative permeability.
 
Theoretical aspect ? Is ##\vec B = \mu \vec H## absolute enough ?
janu203 said:
Why we use relative permeability
who is 'we ' ?
janu203 said:
Why cannot we just take absolute permeability of any material?
Who say we can not ?
janu203 said:
In fact i have started reading about transformers and there i found relative permeability.
I can't guess where you found this. Oherwise I could try to explain... Please tell us where.
 
Well, while permittivity and permeability of the vacuum, ##\epsilon_0## and ##\mu_0## are mere conversion constants from unnatural SI units to natural units, ##\epsilon_r## and ##\mu_r## are effective physical properties of the material, derivable from the microscopic structure of it in terms of linear-response theory.
 
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The relative permeability ## \mu_r ## gives the factor that the magnetic field in the core material is increased by over the applied magnetic field from the current in the conductor coils of a solenoid or transformer. The absolute permeability ## \mu=\mu_o \mu_r ## has an extra factor of ## \mu_o ## in it, (in SI units), which obscures this simple result. ## \\ ## In c.g.s. units, ## B=\mu H=\mu_r H ##, this problem is absent, because ## B=H+4 \pi M ##, without any ## \mu_o ## in front of the ## H ##.
 
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