Surface resistance of metal

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 resistance formed by the surface of the metal sheath of the cable can be calculated by knowing the signal frequency, magnetic permeability and specific conductivity of the metal.

resistance

Surface electrical_resistance.

Symbol:

R

Latex:

\(R\)

Dimension:

impedance

absolute_permeability

absolute_permeability of the insulator.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

inductance/length

angular_frequency

angular_frequency of the signal.

Symbol:

w

Latex:

\(\omega\)

Dimension:

angle/time

specific_conductance

Specific conductance of the conductor, i.e. electrical_conductance per unit length.

Symbol:

G

Latex:

\(G\)

Dimension:

conductance/length

law

R = sqrt(w * mu / (2 * G))

Latex:
\[R = \sqrt{\frac{\omega \mu}{2 G}}\]