Question

1. for n devices in a network, what is the number of cable links required for a mesh, ring, bus, and star topology?

Answer 1

$\bold{\frac{n(n-1)}{2}}$ ‘cable link’ are required for mesh, n-1 cable link for bus, n for ring, and n cable link for ‘star topology’.

Explanation:

• Mesh topology: In this topology, each and every device has been connected to other device through ‘point to point link’. For n devices in a network, $\frac{n(n-1)}{2}$ links are required for mesh topology.

• ‘Ring topology’: Here, every device is connected to 2 devices on either side. For ‘n devices in a network’, n links are required for ring topology.

• Bus topology: Here, the ‘devices are connected’ to main cables using drop lines. For n devices in a network, n-1 cables are required.

• Star topology: Here, every device is connected using star hub. For ‘n devices’ in a ‘network’, n cable links are used in star topology.  

Learn more about topology

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Answer 2

Answer:

Concept:

Network topology refers to how a communication system's components are organized. Network topology is a term that can be used to explain or describe how various forms of telecommunication networks, such as command and control radio channels, industrial field buses, and computer networks, are organised. The physical and logical description of a network's hierarchical model is known as network topology. It is a graph theory application in which communicative devices are represented as nodes and the interconnections between them are represented as links or lines connecting the nodes. Physical topology depicts how data flows inside a network, whereas logical topology depicts how the different components of a network are placed.

Given:

What is the amount of cable links necessary for a mesh, circle, bus, and star topology with n devices in a network?

Find:

find the number of cable links required for given topologies

Answer:

Mesh requires $\frac{n(n-1)}{2}$ cable links, bus requires $n-1$ cable links, ring requires n, and star topology requires n cable links.

Mesh topology:

$\frac{n(n-1)}{2}$ mesh topology requires.

This network connection makes it possible to connect all of the PCs to the internet. This topology employs the most wires, yet it is also the system that is least likely to fail or have any defects. Because each computer has around three wires coming out of it, even if one cable fails, the network will not be completely lost.

Ring topology:

In the sense that the wires are controlled in a ring shape, the ring topology is self-explanatory. The wires link to each computer, allowing signals to pass between them. It is unlikely that any issues will arise during its operation. If the cables fail, the entire system will break down, and no machines will be able to connect to the network.

Bus topology:

Information supplied across the bus topology is not updated or resent from device to device. As a result, if one of the network's components fails, the computers will not crash. However, one drawback is that if there is a problem with the cables, it is difficult to detect.

Star topology

It's the only technology that links all of the computers through a single hub. Each computer will connect to the hub via the given wires, and the network will be powered by the central device.

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