Tool Box

Wire External Inductance

Wire External Inductance

External Inductance Model
Inductance of a wire is:
Wire, external formula .PNG
Units: Henries

Description
The inductance calculated using this tool is the external inductance of a straight, circular wire. Internal inductance, which is negligibly small in many circumstances, 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 sections and to be straight over their length.
Wire is assumed to reside in a homogeneous medium having 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
Length
l

Outputs

Inductance: L = 
1.060e-6 H