Ohm's Law is applicable primarily to linear circuits, but non-linear loads can still be analyzed by breaking the circuit into stages and applying linear analysis where possible. Most loads are resistive, allowing for a simplified approach despite the presence of complex impedances. Techniques such as Laplace transforms help analyze transient signals when circuit states change. Accurate modeling requires precise specifications of components, including wire lengths and connection qualities. Ultimately, while ideal laws have limitations, they provide a foundational framework for understanding and analyzing non-linear systems.