Determine the maximum length of the cable (in km) for transmitting data at a rate of 500 Mbps in an Ethernet LAN with frames of size 10,000 bits. Assume the signal speed in the cable to be 2,00,000 km/s

To find the maximum length of the cable for transmitting data at a speed of 500 Mbps with frames of 10,000 bits, we need to consider the Ethernet LAN type being referenced. Assuming it’s a standard Ethernet setup, the actual type of Ethernet (10BaseT, 100BaseTX, Gigabit, etc.) is crucial because it affects the frame timings and how distance interacts with data rate. However, without a specific Ethernet type, we can’t directly apply those standards’ specific limitations. Despite this, we can approach this with a general understanding, assuming some form of idealized Ethernet-like transmission.

Given Data:

– Data rate = 500 Mbps (Megabits per second)

– Frame size = 10,000 bits

– Signal speed = 200,000 km/s

First, note that Ethernet uses a CSMA/CD (Carrier Sense Multiple Access with Collision Detection) protocol for LAN communication, which requires a minimum frame size or a given network length to ensure collisions are detected. However, the maximum cable length in Ethernet networks is usually determined by signal attenuation and timing requirements (ensuring bits do not blur together), not by the data rate and frame size directly.

However, the frame size and data rate don’t directly determine the maximum cable length in an Ethernet network. Instead, Ethernet standards, signal attenuation, and electromagnetic interference are bigger factors. For example, the Signal Propagation Time (SPT) can be conceptualized as how long it takes for a signal