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The unit for permeability of free space is?
Henry
Henry-m
Henry/m
Henry/m2
Henry/m
The permeability of free space, denoted by ╬╝0тАЛ, represents the measure of resistance offered by a vacuum to the formation of a magnetic field. Its SI unit is Henry per meter (H/m), which is derived from the relationship between magnetic flux linkage, current, and geometric dimensions.
The permeability of free space, denoted by ╬╝0тАЛ, represents the measure of resistance offered by a vacuum to the formation of a magnetic field. Its SI unit is Henry per meter (H/m), which is derived from the relationship between magnetic flux linkage, current, and geometric dimensions.
╬╝0тАЛ=4╧А├Ч10┬░тИТ7┬аH/m тАФ The constant value of permeability of free space
B=╬╝0тАЛH тАФ Relation between magnetic flux density and field intensity
The permeability ╬╝0тАЛ relates the magnetic flux density (B) to the magnetic field intensity (H) in a vacuum, where B=╬╝0тАЛH. Since H has units of Amperes per meter (A/m) and B is measured in Tesla (T = Wb/m┬▓), the unit of ╬╝0тАЛ becomes (Wb/m┬▓) / (A/m) = Wb/Am. Given that 1 Henry = 1 Wb/A, the unit simplifies to Henry per meter (H/m).
The constant ╬╝0тАЛ is fundamental in electromagnetism and Maxwell's equations.
It is also equivalent to Tesla-meters per Ampere (T┬╖m/A).
Magnetic permeability describes how a material responds to an external magnetic field.
Standardized unit allows for consistent calculations in electromagnetic design.
Essential for calculating inductance in coil and transformer designs.
Design of electric motors and generators.
Calculation of inductance for solenoids and toroids.
Transmission line parameter analysis.
The numerical value of ╬╝0тАЛ is exactly 4╧А├Ч10┬░тИТ7┬аH/m.
Option D is incorrect as square meters would imply a surface density relationship, which is physically inconsistent with magnetic field properties.
C is correct тАФ The SI unit for the permeability of free space (╬╝0тАЛ) is Henry per meter (H/m).
Always remember that permeability is measured in H/m, whereas permittivity of free space (╧╡0тАЛ) is measured in Farad per meter (F/m). They are linked by the speed of light: c=╬╝0тАЛ╧╡0тАЛтАЛ1тАЛ.