This chapter delves into the fundamental techniques of circuit analysis, providing the tools necessary to systematically solve for unknown currents and voltages in electrical networks. We begin by exploring Kirchhoff’s Voltage Law (KVL) and Kirchhoff’s Current Law (KCL), two cornerstone principles that govern the behavior of current and voltage in any circuit. Building upon these foundational laws, we introduce two powerful methods: Nodal analysis and Mesh analysis. Nodal analysis, based on KCL, provides a systematic approach for determining node voltages, while mesh analysis, based on KVL, offers a complementary method for solving for loop currents. These techniques, when applied strategically, greatly simplify the analysis of complex circuits, enabling engineers to understand and predict the behavior of electrical systems. Mastery of KVL, KCL, and nodal/mesh analysis is essential is essential for solving circuit problems.