Why we use relative permeability

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Relative permeability is used in electromagnetism because it simplifies the understanding of how materials respond to magnetic fields, particularly in applications like transformers. Absolute permeability includes a constant that can complicate calculations, whereas relative permeability directly relates to the material's response compared to a vacuum. The relationship between magnetic field strength (H) and magnetic flux density (B) is expressed as B = μH, where μ is the absolute permeability, but using relative permeability (μ_r) provides clearer insights into material behavior. Theoretical discussions highlight that while absolute permeability exists, relative permeability is often more practical for analyzing magnetic properties. Understanding these concepts is crucial for effectively designing and utilizing electromagnetic devices.
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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