A planar waveguide model is presented for calculating dispersion characteristics of the normalized phase velocity and characteristic impedance with the frequency dependent effective dielectric constand and effective width in microstrip lines of the hybrid mode. Eeff(f) and Weff(f) are applied to a planar waveguide model by using an empirical relations and formula designed for CAD purposes as a function of frequency. A wide range of relative dielectric constants and the strip $h_{width}$strate height(W/h ratios), $0.5$leq$W/hleq2.5$</TEX> are used. These results are compared with static value, spectral domain analysis, and empirical results. As the result of a computer simulation, in the case of using a planar waveguide model, the frequency dependent normalized phase velocity is more closely approached to 1/ and characteristic impedance is more increased than the other method that has already been presented as the increasing of the frequency. And, the case of applying Eeff(f) designed for the purpose of CAD to this proposed model is show in better result than the case of using a empirical relations.