We present in a concise way the main features of non-linear electro-elastic modelling of homogeneous and composite elastomers. We focus on some significant examples: three types of actuation of thin dielectric elastomers, search for bifurcations of prestretched membranes, introduction to modelling of two-phase laminates and optimization of performance of a dielectric energy generator that is assumed as a prototypical example of a soft dielectric device.