|Mar8-12, 11:33 AM||#1|
magnetic field and π
as you know according to ampere's law ∫B.dl=μ0I
but why μ0 that appears in Maxwell's equations is exactly 4π *10-7 ?
for example in electric field ε0 is 8.85 *10-12
and μ0 like ε0 is a constant that is related to material properties and why this constant is a special number as π that B is special ?
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|Mar8-12, 12:46 PM||#2|
Hi Amir! Welcome to PF!
From the PF Library on magnetic field …What is µ0?
µo is the conversion factor between tesla ([itex]T\ =\ N/A.m[/itex]) and amp-turns per metre ([itex]A/m[/itex]): so it has units of [itex]N/A^2[/itex].
Why isn't µo = 1 N/A2 (so that it needn't be mentioned)?(And the electric constant (permittivity of free space), [itex]\varepsilon_o[/itex], is defined as 1/µ0c², = 107/4πc² C²/Nm² (or F/m).)
|Mar8-12, 02:57 PM||#3|
yes, your sentences is true ,but my query is that π is a number that related to sphere.but µo is a constant that related to environment.and why is a special number that has π ?
µo is exactly 4π 10^-7 but if it is a constant about environment , why it is exactly a special number ? I think it should related to microscopic vacuum properties ,if isn't it ,why for other environments µ is not 4π *10^-7 ? and is a other number? but for free space is a special number like π !
sorry for my english is not good.
|Mar8-12, 03:06 PM||#4|
magnetic field and π
µo is simply the conversion factor between tesla and amp-turns per metre.
(of course, µ (for a material) is related to the material)
The 4π is a standard factor in SI units, since it naturally relates the strength of a source to its flux (because the field from the source spread out over an area 4πr2 instead of r2).
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