Tool Box

Microstrip Inductance

Microstrip Inductance

Microstrip Inductance Model
Inductance of the loop bounded by the upper conductor and ground plane is:
microstripformula

microstripformula

Units: Henries

Description
The inductance calculated using this tool is the external inductance of the loop bounded by the flat conductor and the ground plane.

Assumptions and Limitations
Dimensions are in meters.
Ground plane is assumed to be perfectly conducting and of infinite extent.
Conductor is assumed to have zero thickness and to have uniform height above ground.
Conductor and ground plane are assumed to be separated by a homogeneous medium having permittivity e=e0er and permeability u=u0.

Constants
Permeability of free space: Formula, Permeability of Free Space H/m
Permittivity of air: Formula, Permittivity of Air F/m
Speed of light in a vacuum: Formula, Speed of Light in Vacuum m/s

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

Inputs

Width
w
Height above ground
h
Length
l

Outputs

Inductance: L = 
1.674e-8 H