The partial element equivalent circuit (PEEC) method has proven to be useful for electromagnetic modeling. It can be used in both the time and the frequency domain. It is very important for the partial element equivalent circuit method to evaluate the partial inductances and the coefficients of potential rapidly and accurately. The evaluation of these parameters is much more challenging for the nonorthogonal mesh case. Based on a derivation for the potential due to a distribution of sources on a flat quadrilateral panel, this paper proposes an approach to rapidly extract the partial capacitance of generally quadrilateral PEEC elements. The proposed approach is compared to rectangular-shaped elements for which an analytical solution is known. The accuracy of the results demonstrates the effectiveness of the proposed approach