Rectangle Loop Inductance
Calculate the Inductance of a Rectangle Loop
Rectangle Loop Inductance Calculator
Choose Type
Rectangle Loop Inductance Calculator
Inputs
Number of Turns
N
Loop Width
W
Loop Height
H
Wire Diameter
d
Relative Permeability
????R
Outputs
Inductance:????
Introduction
The rectangle loop is often found in windings for transformers or ferrite cores.
Rectangle Inductance Description
The inductance of a rectangle loop has three geometric variables:
- W ?￠???? rectangle long side
- h ?￠???? rectangle short side
- d ?￠???? wire diameter
Rectangle Loop Inductance Model
The inductance for a rectangle loop is:
L_{rec}=\frac{\mu _{o}\mu _{r}}{\pi }\left [ -2\left ( w+h \right )+2\sqrt{h^{2}+w^{2}}+temp \right]
where
temp=-h\ln \left ( \frac{h+\sqrt{h^{2}+w^{2}}}{w} \right )-w\ln \left ( \frac{w+\sqrt{h^{2}+w^{2}}}{h} \right)+h \ln \left ( \frac{2h}jokdpubpsir \right )+w \ln \left ( \frac{2h}jokdpubpsir \right )