  This work aims to identify some inhomogeneity factors for plane symmetric
topology with anisotropic and dissipative fluid under the effects of both
electromagnetic field as well as Palatini $f(R)$ gravity. We construct the
modified field equations, kinematical quantities and mass function to continue
our analysis. We have explored the dynamical quantities, conservation equations
and modified Ellis equations with the help of a viable $f(R)$ model. Some
particular cases are discussed with and without dissipation to investigate the
corresponding inhomogeneity factors. For non-radiating scenario, we examine
such factors with dust, isotropic and anisotropic matter in the presence of
charge. For dissipative fluid, we investigate the inhomogeneity factor with
charged dust cloud. We conclude that electromagnetic field increases the
inhomogeneity in matter while the extra curvature terms make the system more
homogeneous with the evolution of time.
