This research offers an examination of the impacts of geometric, thermal, and electromagnetic parameters on magnetohydrodynamic (MHD) natural convection flow of an electrically conducting fluid within a vertical concentric annulus. Exact solutions for temperature, velocity, induced current density and induced magnetic fields were achieved by solving the dimensionless governing equations, alongside expressions for critical parameters such as skin friction (?), mass flux (Q), and induced current flux (J). The analysis reveals that heat generation/absorption (S) and the annular gap ratio (?) play pivotal roles in modulating thermal and flow characteristics, significantly influencing Nusselt numbers and skin friction coefficients. Heat absorption enhances flow gradients, while heat generation promotes thermal buoyancy, with both effects being amplified by larger annular gaps. The Hartmann number (Ha) demonstrates a suppressive influence on velocity and mass flux, driven by the Lorentz force, which dampens fluid motion and alters magnetic field behavior. These findings underscore the intricate interplay of physical parameters in shaping MHD flow dynamics and offer valuable insights for optimizing thermal management and energy applications in advanced MHD systems.