Methods are disclosed in which an electrically conductive substrate is immersed in electrodepositable composition including graphenic carbon particles, the substrate serving as an electrode in an electrical circuit comprising the electrode and a counter-electrode immersed in the composition, a coating being applied onto or over at least a portion of the substrate as electric current is passed between the electrodes. The electrodepositable composition comprises an aqueous medium, an ionic resin, and solid particles including graphenic carbon particles. The solid particles may also include lithium-containing particles.