Question

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.

Answer 1

Answer:

2 km

Step by step explanation:

The givens are:

• Rate of transmission = 500 Mbps
• Size = $10^4$ bits
• Signal speed = $2*10^5\:km/sec$

Transmission time ≥ round trip time of 1 bit

Transmission time ≥ 2*propagation time

Transmission time = size of frames/total rate of transmission

Propagation time = Length of cable/speed of transmission

Therefore,

$\frac{10^4\:bits}{500\:Mbps}\geq 2*\frac{L}{2*10^5\:km/sec}\\ \\2\:km\geq L$

So maximum length = 2 km