Definition of Variables#

Wikipedia: electrical length

Symbol

Unit

Definition

\(\beta\)

1 / meter

Wavenumber of wave in conductor \(= 2\pi/\lambda\)

\(\epsilon\)

farads / meter

Permittivity per meter of the dielectric in cable

\(\epsilon_0\)

farads / meter

Permittivity of free space (constant)

\(\epsilon_{\text{eff}}\)

farads / meter

Effective relative permittivity per meter of cable

\(\epsilon_r\)

none

Relative permittivity of the dielectric in cable

\(\kappa\)

none

Velocity factor of current in conductor \( = \nu_p\ /\ c\)

\(\lambda\)

meter

Wavelength of radio waves in conductor

\(\lambda_0\)

meter

Wavelength of radio waves in free space

\(\mu\)

henries / meter

Effective magnetic permeability per meter of cable

\(\mu_0\)

henries / meter

Permeability of free space (constant)

\(\mu_r\)

none

Relative permeability of dielectric in cable

\(\nu\)

none

Index of refraction of dielectric material

\(\phi\)

radians or degrees

Phase shift of current between the ends of the conductor

\(\omega\)

radians / second

Angular frequency of alternating current \( = 2 \pi f\)

\(c\)

meters / second

Speed of light in vacuum

\(C\)

farads / meter

Shunt capacitance per unit length of the conductor

\(f\)

hertz

Frequency of radio waves

\(F\)

none

Fraction of space filled with dielectric, fill factor of a transmission line

\(G\)

none

Electrical length of conductor

\(G_0\)

none

Electrical length of electromagnetic wave in free space

\(l\)

meter

Length of the conductor

\(L\)

henries / meter

Inductance per unit length of the conductor

\(T\)

second

Period of radio waves

\(t\)

second

Time

\(\nu_p\)

meters / second

Phase velocity of current in conductor

\(x\)

meter

Distance along conductor