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A circuit switching network has the following characteristics :

Set up time = 5 sec
Propagation = 5 sec
Message size = 1 M bits
Data transmission rate = 1 M bits
Data transmission rate = 1
Kbps Number of hops = 10

When will the last bit of the message reach the receiver ?

  • A.t = 520 sec
  • B.t = 1000 ms
  • C.t = 250 sec
  • D.t = 1025 sec

Answer: D

Correct answer: t = 1025 sec

Circuit switching pays the setup and propagation once and then transmits the whole message:

\[ t = 5 + 5 + \frac{10^{6}}{10^{3}} + \ldots = 1025\ \text{s} \]

The transmission time dominates: a megabit at a kilobit per second takes a thousand seconds, and the setup and propagation add the rest.

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