We have found a class of dynamical charged `black-hole' solutions to Einstein-Maxwell system with a non-zero cosmological constant in a large number of spacetime dimensions. We have solved up to the first sub-leading order using large D perturbative technique where the inverse of the number of dimensions serves as the perturbation parameter. The system is dual to a dynamical membrane with charge and velocity field, living on it. The dual membrane has to be embedded in a background geometry that itself, satisfies the pure gravity equation in presence of a cosmological constant. Pure AdS / dS are particular examples of such background. We have also obtained the membrane equations governing the dynamics of the dual charged membrane. The consistency of our membrane equations is checked by calculating the quasi-normal modes of different Einstein-Maxwell system in AdS/dS. This talk is based on arXiv:1806.08515.