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Rectangular Loop Inductance

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Rectangular Loop Inductance

Rectangular Loop Inductance Model
Inductance of a rectangular wire loop is:
InductanceRectangularLoopFormula
Units: Henries

Description
The inductance calculated using this tool is the external inductance of a rectangular loop of wire. Internal inductance is not included in this model, but may be calculated using the Wire Internal Inductance tool.

Assumptions and Limitations
Dimensions are in meters.
Wire is assumed to have circular cross section.
Loop length and width must be greater than the wire diameter.
Current in the wire is assumed to be uniformly distributed across its cross section.
Wire is assumed to reside in a homogeneous medium having and permeability u=u0.

Constants
Permeability of free space: Formula, Permeability of Free Space H/m

Reference: “Inductance Loop and Partial”, C.R. Paul, Wiley, 2010.

Inputs

Wire radius
r
Width
w
Length
l

Outputs

Inductance: L = 
2.458e-7 H
Calculations provided on this page are a simplified subset from EMI Analyst models.
Many conductor properties are frequency dependent and dynamically affect electromagnetic characteristics of circuitry and systems.
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