Specific inductance of coaxial waveguide

A coaxial waveguide is an electrical cable consisting of a central conductor and a shield arranged coaxially and separated by an insulating material or an air gap. It is used to transmit radio frequency electrical signals. The specific inductance of a coaxial waveguide depends on the radius of the outer conductor and the radius of the inner conductor, as well as on the permeability of the insulator material.

specific_inductance

inductance of the waveguide per unit length.

Symbol:

L

Latex:

\(L\)

Dimension:

inductance/length

absolute_permeability

absolute_permeability of the insulator.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

inductance/length

outer_radius

radius of the outer conductor.

Symbol:

r_o

Latex:

\(r_\text{o}\)

Dimension:

length

inner_radius

radius of the inner conductor.

Symbol:

r_i

Latex:

\(r_\text{i}\)

Dimension:

length

law

L = mu / (2 * pi) * log(r_o / r_i)

Latex:

\[L = \frac{\mu}{2 \pi} \log \left( \frac{r_\text{o}}{r_\text{i}} \right)\]