12 Questions
What term is used to describe a node's immediate neighbors in network theory?
Adjacent nodes
What is the study of interconnections between nodes or vertices called?
Network theory
In network theory, what is a path that starts and ends at the same node called?
Closed loop
What term is used to describe the strength of connections between nodes in network theory?
Link strength
In network theory, what theorem states that the total voltage around a closed loop in a circuit is zero?
Kirchhoff's voltage law
In the context of network theory, which term describes the number of links connected to a node?
Degree of a node
What theorem in network theory states that any linear electrical network with voltage and current sources can be replaced by an equivalent circuit consisting of a single voltage source and a single series resistor?
Thevenin's theorem
What type of path in network theory starts and ends at the same node?
Closed path
What theorem in network theory states that any connected graph with |V| vertices and |E| edges satisfies the equation |V| - |E| + |F| = 1, where |F| is the number of regions formed by the edges?
Euler's theorem
In network theory, what term is used to describe the measure of how easily electrical current can flow through a component?
Conductance
What do we call a path in a graph that visits every vertex exactly once and returns to the starting vertex?
Cycle
Which theorem in network theory states that the voltage across two points in a network is equal to the current flowing between those two points multiplied by the equivalent resistance between them?
Ohm's law
Study Notes
Network Theory Terminology
- In network theory, a node's immediate neighbors are referred to as its adjacent nodes.
Graph Theory
- The study of interconnections between nodes or vertices is called graph theory.
Path Types
- A circuit is a path that starts and ends at the same node.
- A Hamiltonian cycle is a path that visits every vertex exactly once and returns to the starting vertex.
Connection Strength
- The strength of connections between nodes in network theory is described by the term conductance.
Theorems
- Kirchhoff's Voltage Law (KVL) states that the total voltage around a closed loop in a circuit is zero.
- Thevenin's Theorem states that any linear electrical network with voltage and current sources can be replaced by an equivalent circuit consisting of a single voltage source and a single series resistor.
- Euler's Formula states that any connected graph with |V| vertices and |E| edges satisfies the equation |V| - |E| + |F| = 1, where |F| is the number of regions formed by the edges.
- Ohm's Law states that the voltage across two points in a network is equal to the current flowing between those two points multiplied by the equivalent resistance between them.
Node Properties
- The number of links connected to a node is described by the term degree.
- The measure of how easily electrical current can flow through a component is described by the term conductivity.
Test your knowledge of network theory with this quiz. It covers concepts such as interconnections between nodes, immediate neighbors, paths, and strength of connections.
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