Wire Over Ground Plane Capacitance

Wire Over Ground Plane Capacitance

Wire Over Ground Plane Capacitance Capacitance Calculators

Wire Over Ground Plane Capacitance Model
Capacitance between the wire and ground plane is:
wire_over_ground_plane_formulas

Units: Farads

Description
The capacitance calculated using this tool is the capacitance between the wire and the ground plane over the wire length. Model accounts for proximity effect of a wire close to ground plane.

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.
Wires are assumed to reside in a homogeneous medium having permeability of free space and relative permittivity wirepair_dec.

Constants
Permeability of free space: Formula, Permeability of Free Space H/m
Permittivity of air: Formula, Permittivity of Air F/m

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

WireOverGroundPlane-Dimensioned1-402x270

Inputs

Wire radius
r
Height above ground
h
Length
l
Relative permeability

Outputs

Capacitance: C = 
1.049e-11 F