Final answer:
Kirchhoff's first rule states that the sum of all currents entering a junction must equal the sum of all currents leaving the junction. Kirchhoff's second rule states that the sum of changes in potential around a closed circuit loop must be zero.
Step-by-step explanation:
Kirchhoff's first rule, also known as the junction rule, states that the sum of all currents entering a junction must equal the sum of all currents leaving the junction. This is based on the law of conservation of charge. Kirchhoff's second rule, also known as the loop rule, states that the algebraic sum of changes in potential around any closed circuit path (loop) must be zero. This rule is based on the law of conservation of energy.