What are Kirchoff's Laws ?

In the previous units, we considered circuits with a single resistor and did an analysis using Ohm’s law. At this point we begin to expand our capabilities to handle more complicated circuits, which result from an interconnection of two or more of these simple elements. In 1847, Gustav Robert Kirchhoff extended the use of Ohm’s law by developing a simple concept called Kirchhoff’s laws.

Kirchhoff’s Current Law (KCL)

At any node in a circuit, the current arriving is equal to the current leaving. For the circuit shown in Figure 8.1, we obtain the following equations:

(8.1)

 

Figure 8.1 Circuits with one nodes to illustrate Kirchhoff’s Current Law.

An important principle of electrical circuits is Kirchhoff’s Current Law (KCL), which states that the net current entering a node is zero.

               

Content and Pedagogy© 2004, University of Ottawa, Faculty of Engineering and Faculty of Education
Design and Production © 2004, University of Ottawa, Centre for e-Learning