microstrip line

calculate the characteristic impedance and effective dielectric constant of micro-strip lines.


Parameters

dielectric constant
`epsilon_r` \(\)
height of the substrate
h \(mil\)
width of the trace
w \(mil\)

Output

effective dielectric constant `epsilon_(eff)`

`epsilon_(eff)=(epsilon_r+1)/2+(epsilon_r-1)/2[(1+12h/w)^(-1/2)+0.04(1-w/h)^2]]`

characteristic impedance `Z_0`

`60/sqrt(epsilon_(eff))ln(8h/2+w/(4h))`