45 cables because if the formula will apply no. of cables={n(n-1)/2)} (n stands for number of devices) {10(10-1)/2} {10(9)/2} 90/2=45
Devices- 6 W= n(n-1)/2 whereby W is number of cables n is number of devices solution W= 6(6-1)/2 =6(5)/2 =3(5) =15 15 cables
In a mesh topology, each device is directly connected to every other device. To determine the number of cables needed to connect 5 devices, you can use the formula ( n(n-1)/2 ), where ( n ) is the number of devices. For 5 devices, this results in ( 5(5-1)/2 = 10 ) cables. Thus, 10 cables are needed to connect 5 devices in a full mesh topology.
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Topology
Physical topology refers to the physical layout of devices and cables in a network. It defines how devices are connected to each other and how data flows between them. Common physical topologies include bus, star, ring, mesh, and hybrid.
Star topology
A star topology is a method of connecting several computers to one another in a network. The cables used in a star topology are twisted pair cables or coaxial cables. Coaxial cables would be the cheapest solution.
A linear bus topology is a straight line (linear) topology which wires devices in a straight, sequential fashion (like daisy-chaining). It is characterized by a very simple and easy way to create a LAN but has problems with breaks in any of the cables in the topology. This linear bus topology does not require a central connectivity device such as a hub, switch, or router.
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To repair a star topology, first identify the faulty device or connection by checking each cable and the central hub or switch. Replace any damaged cables or malfunctioning network devices, ensuring all connections are secure. If the central hub is faulty, replace it and reconnect all devices. Lastly, test the network to confirm that all devices are communicating properly.
A wireless network
The topology you're describing is known as a star topology. In a star topology, all network devices are connected to a central hub or switch, which acts as the main point of communication. If this central point fails, the entire network becomes inoperable, as no devices can communicate with each other. This design is often used for its simplicity and ease of troubleshooting, but it does create a single point of failure.