Mature red blood cell (RBC) consists of cytoplasm, mainly normal hemoglobin (HbA) within a plasma membrane. In sickle cell disease, abnormal sickle hemoglobin (HbS) molecule polymerizes and forms into rigid fibers at low oxygen tension, which contributes to variation in the biophysical properties of sickle cells from healthy RBCs. This paper presents an electrical equivalent circuit (EEC) model of sickle cell that considers the phase transition of oxy-HbS solution to deoxy-HbS polymers. Briefly, we model the oxy-HbS solution following healthy RBCs using a resistor and deoxy-HbS fibers as a capacitor. To validate the model, electrical impedance measurements of cell suspensions for normal RBCs and sickle cells are performed, using a multi-channel lock in amplifier in the frequency range of 1 kHz to 10 MHz in a customized microfluidic chamber. Quantitative measurements of the classical components of EEC model are extracted using the developed EEC sickle cell model, allowing us to better understand the biophysics of cell sickling event in sickle cell disease.