In this paper, we analyze energy density inhomogeneities for charged fluid configuration in the background of $f(T)$ theory and recognize its prime features as computed in GR. The dynamical equations are composed employing Bianchi identities for the standard, $f(T)$ extra terms, and energy-momentum tensor for the electromagnetic field. We evaluate various mathematical models of dissipative and anisotropic fluid distributions in-plane symmetry under $f(T)$ gravity. To proceed with the investigation, we design the $f(T)$ field equations, kinematical quantities, and mass function. We analyzed dynamical variables and Ellis equations in terms of our considered theory. To examine the associated inhomogeneity factors, specific scenarios are illustrated alongside and without dissipation. Within a non-radiating situation, we analyze dust and isotropic and anisotropic matter in the state of electric charge. We examine the inhomogeneity factor of a dissipative fluid via a charged dust haze. We derive that the electromagnetic field fosters matter inhomogeneity, but additional curvature factors make the entire structure more homogenous as time passes.

在本文中，我们分析了在以下背景下带电流体构型的能量密度不均匀性：$F（\mathrm{时间}）$理论并认识其在 GR 中计算的主要特征。动力学方程采用 Bianchi 恒等式作为标准组成，$F（\mathrm{时间}）$额外项，以及电磁场的能量动量张量。我们评估了面内对称性下耗散和各向异性流体分布的各种数学模型$F（\mathrm{时间}）$重力。为了继续调查，我们设计了$F（\mathrm{时间}）$场方程、运动学量和质量函数。我们根据我们考虑的理论分析了动力学变量和埃利斯方程。为了检查相关的不均匀性因素，特定场景被并排说明且没有耗散。在非辐射情况下，我们分析电荷状态下的灰尘以及各向同性和各向异性物质。我们通过带电尘雾检查耗散流体的不均匀性因素。我们得出结论，电磁场促进了物质的不均匀性，但随着时间的推移，额外的曲率因子使整个结构变得更加均匀。