You can work these formulas manually, or download this great
free microstrip calculator (TX Line) from Cadence/AWR.
Here is a really nice summary of many controlled impedance
line equations, by Rick Hartley:
RF / Microwave PC Board Design and Layout
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.
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.
