node (circuits)

{{short description|Region of an electrical circuit between two components}}

{{Refimprove|date=January 2007}}

Image:Nodes2.svg represents one node.]]

In electrical engineering, a node is any region or joining point on a circuit between two circuit elements. In circuit diagrams, connections are ideal wires with zero resistance. Whether "node" refers to a single point of junction or an entire equipotential region varies by the source.Smith, Ralph J. (1966), Circuits, Devices and Systems, Chapter 2, John Wiley & Sons, Library of Congress Catalog Card No.: 66-17612Chen, Wai-Kai, The Electrical Engineering Handbook https://nibmehub.com/opac-service/pdf/read/The%20electrical%20engineering%20handbook%20by%20Wai%20Kai%20Chen.pdf, pg 5, Elsevier (2004), "A node is a junction point where the terminals of two more more elements are joined."

"Node" is often used, especially in mesh analysis, to mean a principal node, which is distinct from the usage defined above. A principal node is a point in a circuit diagram where three or more connections meet.{{cite web|url=https://www.technologyuk.net/science/electrical-principles/circuit-nodes.shtml#:~:text=Nodes%20N%20and%20C%20are,of%20interest%20and%20node%20C.|title=Circuit Nodes|publisher=Technology UK|accessdate=2025-06-11}}{{cite web|url=https://mathonweb.com/help/electrical.htm|title=Analysing Electric Networks|publisher=mathonweb.com|accessdate=2025-06-11}} Principal nodes are important points of consideration in applying Kirchhoff's circuit laws, because conservation of current means current can split or combine at these points.

When clarification is needed, a region connecting only two circuit elements is referred to as a simple node, where there is no branching of current, while a point connecting three or more elements is a principal mode.{{cite web|url=https://testbook.com/question-answer/how-many-elements-are-joined-to-a-principal-node--6239bfd1c248ff64defd8116r.|accessdate=2025-06-11|title=How Many Elements are Joined to a Principal Node?|publisher=testbook.com}} The full definition uses in this article encompasses both principal and simple nodes.

Details

According to Ohm's law, {{math|1=V = IR}}, the voltage {{mvar|V}} across any two points of a node with negligible resistance {{mvar|R}} is

:V = IR = I\cdot 0 = 0,

showing that the electric potential at every point of a node is the same.

There are some notable exceptions where the voltage difference is large enough to become significant:

Dots used to mark nodes on a circuit diagram are sometimes referred to as meatballs.Mansfield, Michael; O'Sullivan, Colm (2010), Understanding Physics (2nd edition), Chapter 14, page 359, John Wiley & Sons

References