Lithium-ion batteries are one of the best electrical sources for supporting electrical and electronic devices. This type of cell is cheap and has high energy density. Developing the rapid charging and discharging is one research critical area what development improve reperformance of lithium-ion batteries. In this research we will explore additional Nanoparticles to the cathode enhance charge and discharging period. We have developed models that take in consideration which enhance and reduce charging time. These new methods change the current density of lithium-ion batteries. These models are unique approach to solving and improving the overall charging or discharging time of the lithium-ion system. Analyzing and improving electrical conductivity in the cathode materials of lithium-ion batteries is the purpose of this research. We have demonstrated with these models and improvement of charging and discharging five percentage of current. A second benefit of these Nanoparticles in the cathode electrode is a decrease in the charging and discharging time. In the future we hope that this theorical results can be applied to real lithium-ion battery system.