Microstrip Substrate Equations
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 εeff formula for the W/H<1 case.
More than 10,000 searchable pages indexed.