<p>This research investigates the transient behavior of the boundary layer of a non-Newtonian Jeffrey fluid in a horizontal Couette flow when (i) the system is subjected to electric loads and induced magnetic field (I.M.F), (ii) the fluid is moving along the upper plate/conductor with exponentially increasing and time-dependent non-linear velocity due to which it experiences perturbation/oscillations. Additionally, shear-stress and the heat and mass flux were evaluated at different positions along the fluid flow between the channels. Mixed convection simulation incorporates the principles of thermal radiation, viscous dissipation, and chemical reactions. We utilized the finite difference method and similarity technique to solve the governing boundary layer equations. The MATLAB ode15s solver is effectively utilized to generate graphical (2-D, 3-D) and tabular representations of the results. The solver employs finite approximation technique to solve ordinary differential equations (ODEs) computationally, and reduce its complexity. This computational approach is robust and appropriate for capturing transient behaviours in fluid dynamics, ensuring accurate and reliable numerical solutions. The key findings of the study include a rising pattern of velocity curve with increasing perturbation parameter and the plate velocity at various time intervals. However, the velocity declines with the strengths of magnetic field and electric load parameter, while the temperature profile grows with the electric load. Additionally, the I.M.F curve rises along with the plate velocity, the Reynolds number, and the magnetic Prandtl number. These findings underscore the significance of comprehensive fluid dynamics research in addressing contemporary energy challenges and fostering innovative technologies for sustainable power generation and energy storage systems. Furthermore, the present results are in good agreement when validated with existing works.</p>