Electrophoresis is a method for separating charged molecules in a liquid under an electric field, utilizing different types of gels like agarose and polyacrylamide for analysis. Two-dimensional gel electrophoresis combines isoelectric focusing and SDS-PAGE to analyze complex protein mixtures, allowing for the resolution of thousands of proteins simultaneously. The technique involves various steps such as separation, staining, and detection, making it highly effective for preparative and analytical purposes.