Effective permittivity of coplanar transmission line when distance is less than thickness¶
Under the conditions described below, the effective permittivity of a coplanar line can be calculated directly from the relative permittivity of the substrate.
Conditions:
\(h \ge \frac{d}{4}\) where \(h\) is the thickness of the substrate, and \(d\) is the distance between the first and last electrodes.
- effective_permittivity¶
Effective
relative_permittivity
of the coplanar line. See Effective permittivity of coplanar line.
- Symbol:
epsilon_eff
- Latex:
\(\varepsilon_\text{eff}\)
- Dimension:
dimensionless
- relative_permittivity¶
relative_permittivity
of the dielectric substrate of the coplanar line.
- Symbol:
epsilon_r
- Latex:
\(\varepsilon_\text{r}\)
- Dimension:
dimensionless
- law¶
epsilon_eff = (1 + epsilon_r) / 2
- Latex:
- \[\varepsilon_\text{eff} = \frac{1 + \varepsilon_\text{r}}{2}\]