Kirchhoff’s first law ($\sum i=0$) and second law ($\sum iR=\sum E$) are respectively based on the conservation of:

- Kirchhoff's First Law (Junction Rule): Based on the principle that charge can neither be created nor destroyed at a junction. Thus, it follows the Conservation of Charge.Kirchhoff's Second Law (Loop Rule): Based on the principle that the total potential change around a closed loop is zero. Thus, it follows the Conservation of Energy.