Nodes, Branches, and Loops

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Presentation transcript:

Nodes, Branches, and Loops

Nodes, Branches, and Loops Since the elements of a circuit can be interconnected in several ways, it is important to understand the basic concepts of network topology.

Branches A branch represents a single element such as a voltage source or a resistor.

Nodes A node is the point of connection between two or more branches. Nodes are indicated by a dot in a circuit. If a short circuit connects two nodes, the two nodes constitute a single node.

Loops A loop is any closed path in a circuit. A loop is a closed path formed by starting at a node, passing through a set of nodes, and returning to the starting node without passing through any node more than once.

Topology Theorem A network with b branches, n nodes, and l independent loops will satisfy the fundamental theorem of network topology: b = l + n - 1

Examples Count the number of nodes, branches and loops in the circuit.

Examples Count the number of nodes, branches and loops in the circuit.

Examples Count the number of nodes, branches and loops in the circuit.

Examples Count the number of nodes, branches and loops in the circuit.