the law that the algebraic sum of the currents flowing toward any point in an electric network is zero.

the law that the algebraic sum of the products of the current and resistance in the conductors forming a closed loop in a network is equal to the algebraic sum of the electromotive forces in the loop.

Origin of Kirchhoff's law

First recorded in 1865–70; named after G. R. Kirchhoff

British Dictionary definitions for kirchhoff's laws

Kirchhoff's laws

pl n

two laws describing the flow of currents in electric circuits. The first states that the algebraic sum of all the electric currents meeting at any point in a circuit is zero. The second states that in a closed loop of a circuit the algebraic sum of the products of the resistances and the currents flowing through them is equal to the algebraic sum of all the electromotive forces acting in the loop

Word Origin for Kirchhoff's laws

C19: after G. R. Kirchoff (1824–87), German physicist