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circuit theory Circuit may refer to: Science and technology Electrical engineering * Electrical circuit, a complete electrical network with a closed-loop giving a return path for current ** Analog circuit, uses continuous signal levels ** Balanced circu ...
, a supernode is a theoretical construct that can be used to solve a circuit. This is done by viewing a
voltage Voltage, also known as (electrical) potential difference, electric pressure, or electric tension, is the difference in electric potential between two points. In a Electrostatics, static electric field, it corresponds to the Work (electrical), ...
source on a wire as a point source voltage in relation to other point voltages located at various nodes in the circuit, relative to a ground node assigned a zero or negative charge. A supernode exists when an ideal voltage source appears between any two nodes of an electric circuit. Each supernode contains two nodes, one non-reference node and another node that may be a second non-reference node or the reference node. Supernodes containing the reference node have one node voltage variable. For
nodal analysis In electric circuit analysis, nodal analysis (also referred to as node-voltage analysis or the branch current method) is a method of determining the voltage between nodes (points where elements or branches connect) in an electrical circuit in ter ...
, the supernode construct is only required between two non-reference nodes.


Nodal analysis

It is related to
Kirchhoff's current law Kirchhoff's circuit laws are two Equality (mathematics), equalities that deal with the Electric current, current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits. They were first described in ...
which states that the total or algebraic sum of currents meeting at a junction or node is zero. Every junction where two or more branches meet is a node. One of the nodes in the network is taken as reference node. If there are n nodes in any network, the number of simultaneous equation to be solved will be (n-1).


See also

*
Node In general, a node is a localized swelling (a "knot") or a point of intersection (a vertex). Node may refer to: In mathematics * Vertex (graph theory), a vertex in a mathematical graph *Vertex (geometry), a point where two or more curves, lines ...


References

Electronic circuits {{Electronics-stub