In electric vehicles (EVs), the absence of powertrain noise makes road-induced vibrations more perceptible, posing a significant challenge in simultaneously optimizing ride comfort and road holding. This study addresses this challenge by investigating and simulating a semi-active suspension system integrating a Magneto-Rheological Damper (MRD) for a quarter-car model. A two-degree-of-freedom (2-DOF) dynamic model is developed in the MATLAB/Simulink environment, where the MRD is characterized by its experimentally determined force limits and the damping force is regulated in real-time by a Clipped-Optimal Skyhook control algorithm. Simulation results demonstrate that the semi-active system reduces the Root Mean Square (RMS) value of the vehicle body acceleration to 2.36 m/s2, which is a 10.6% improvement compared to the passive soft suspension (RMS = 2.64 m/s2). These findings strongly confirm the potential of MRD technology to enhance both ride quality and dynamic performance in modern electric vehicles.