Power carried by 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.

power¶: power transmitted by the waveguide.

Symbol:: P
Latex:: \(P\)
Dimension:: power

relative_permittivity¶: relative_permittivity of the insulator.

Symbol:: epsilon_r
Latex:: \(\varepsilon_\text{r}\)
Dimension:: dimensionless

relative_permeability¶: relative_permeability of the insulator.

Symbol:: mu_r
Latex:: \(\mu_\text{r}\)
Dimension:: dimensionless

voltage¶: voltage between the central conductor and the outer conductor.

Symbol:: V
Latex:: \(V\)
Dimension:: voltage

outer_diameter¶: diameter of the outer conductor.

Symbol:: d_o
Latex:: \(d_\text{o}\)
Dimension:: length

inner_diameter¶: diameter of the inner conductor.

Symbol:: d_i
Latex:: \(d_\text{i}\)
Dimension:: length

impedance_constant¶: Constant equal to \(120 \Omega\).

Symbol:: Z_0
Latex:: \(Z_0\)
Dimension:: impedance

law¶

P = V^2 / Z_0 * sqrt(epsilon_r / (mu_r * log(d_o / d_i)))

Latex:: \[P = \frac{V^{2}}{Z_0} \sqrt{\frac{\varepsilon_\text{r}}{\mu_\text{r} \log \left( \frac{d_\text{o}}{d_\text{i}} \right)}}\]