You
can work these formulas manually, or download this great free microstrip calculator (TX
Line) from AWR.
Equations are given for calculating the effective width and height
prior to plugging the dimensions prior to plugging them in to the equations for effective dielectric
constant and then for calculating the impedance.
Here is a really nice summary of many
controlled impedance line equations, by Rick Hartley.
RF / Microwave PC Board Design and Layout
Be aware that there are many microstrip
impedance calculators on the Internet that give sometimes widely varying results. Be sure of
which one you finally decide to use. Most claim to use some or all of these formulas these formulas,
but I have discovered ones, for instance, that appear to mistakenly substitute 0.4 for 0.04
in the ε_{eff} formula for the W/H<1 case.
Effective Width and Height 






