The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
0 votes
61 views
Determine the maximum length of the cable $\text{(in km)}$ for transmitting data at a rate of $\text{1 Gbps}$ in an $\text{Ethernet LAN}$ with frames of size $\text{4000 bits}$. Assume the signal speed in the cable to be $\text{2,00,000 km/s}$.

  1. $\text{100 meters}$
  2. $\text{200 meters}$
  3. $\text{400 meters}$
  4. $\text{500 meters}$
asked in Computer Networks by Boss (17.2k points) | 61 views
0

@Subarna Das @Mk Utkarsh pls give solution..i got this question wrong.

+1
0
Thanks..

1 Answer

+1 vote
For avoiding collision in LAN (Ethernet), we should take care of the Transmission time-- it should be greater than twice the propagation time.

$\therefore  \text{Transmission time} \geq 2 \times \text{Propagation time} \\  \implies \dfrac{L}{B} \geq 2 \times \dfrac{d}{v} \\ \implies \dfrac{4000}{10^9} \geq 2 \times \dfrac{d}{2 \times 10^5} \\ \implies \dfrac{4000}{10^9} \times 10^5 \geq d \\ \implies d \leq 0.4 \ km $

So, the maximum length of the cable should be $\text{0.4 km} \approx 400 \ meters$
answered by Boss (17k points)
Answer:

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,069 questions
53,206 answers
184,550 comments
70,420 users