Wire Over Ground Plane Inductance

Wire Over Ground Plane Inductance Model
Inductance of the loop bounded by the wire and ground plane is:

Units: Henries

Description
The inductance calculated using this tool is the external inductance of the loop bounded by the wire and the ground plane over the wire length. Internal inductance is not included in this model, but may be calculated using the Wire Internal Inductance tool, Model accounts for proximity effect of closely spaced wires.

Assumptions and Limitations
Dimensions are in meters.
Ground plane is assumed to be perfectly conducting and of infinite extent.
Wire is assumed to have circular cross section and to have uniform height above ground.
Wire and ground plane are assumed to reside in a homogeneous medium having permeability .

Constants
Permeability of free space: H/m

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