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Answer:
a) Here, Total No. of subscribers=N
So, the total number of lines in the network, L = [tex]\frac{N(N-1)}{2}[/tex]
b) If N=2, then L=1;
If N=10, then L=45;
If N=100, then L= 4950;
If N=1000, then L= 499500.
c) In a mesh topology network with N subscribers, (N–1) lines must be built to each subscriber.
d) No it is not suitable for a public telecommunications network.
Because it is costly and complex to implement. Needs more power to active all nodes. The nodes will face redundant connection problem etc.
Explanation:
a) Because each subscriber is directly connected to all other subscribers, the network follows a mesh topology.
b) If N=2,
L=[tex]\frac{2*(2-1)}{2}[/tex] = 1.
If N=10,
L= [tex]\frac{10*(10-1)}{2}[/tex] = 45.
If N=100,
L= [tex]\frac{100*(100-1)}{2}[/tex] = 4950
If N=1000,
L= [tex]\frac{1000*(1000-1)}{2}[/tex] = 499500.