For the circuit modeling of th ecoplanar waveguide (CPW) discontinuities, th eequivalent inductance is analyzed via the 3-dimensional boundary element method. The proposed method utilizes the magnetic scalar potential to obtain the magnetic flux passing sthrough the air-dielectric interfaces of the coplanar waveguide. The boundary integral is simplified by use fo the symmetry when the substrate is composed of the nonmagnetic material. In the numerical analysis, linear basis function and the collocationscheme are employed. The short-end and the step discontinuities are cahracterized through the calculations of the equivalent inductance andd the capacitance. The present method avoids the usual vector formulation and is quite advantageous in the quasi-staic characterization of the CPW disconditnuities.