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Traffic intensity is one of the important ratio which gives an insight into the queuing delays.

Discuss traffic intensity and its impact on the queue’s behaviour of a router for the following

cases: (i) Traffic Intensity >1 (ii) Traffic Intensity < 1 (iii) Traffic Intensity =1. (You have to

explain your answer with the help of mathematical equations and graph).


Determine the average value of the form factor of a half wave rectifier for the alternating current represent by
a. i = 20sinwt
b. i = 30sinwt
A. Find the rms value of the resultant current in a wire which simultaneously has a direct current of 12.2A and sinusoidal alternating current of peak value of 12.2A
B. What would be the rms value of the current if the peak value of the sinusoidal alternating current is 10A and the DC current is increased to 20A

Simplify the following boolean function F. together with the don’t-care conditions d. and then express the simplified function in sum-of-minterms form:


F(A, B, C, D) =  Σ(4, 5, 7, 12, 13, 14)


d(A, B, C, D) =  Σ(1, 9, 11, 15)

Simplify the following boolean expression, using four-variable maps:


AB'C + B'C'D' + BCD + ACD' + A'B'C + A'BC'D


Simplify the following boolean expression, using four-variable maps:


A' B' C' D' + A'CD' + AB'D'+ABCD + A' BD


Simplify the following boolean function, using four-variable maps:


F(A, B, C, D) =  Σ(0, 2, 4, 5, 6, 7, 8, 10,

13, 15)

Simplify the following boolean function, using karnaugh maps:


F(w, x, y, z) =  Σ(2, 3, 12, 13, 14, 15)

Simplify the following boolean expression, using three-variable maps:

F(x, y, z) = xyz + x'y'z + xy'z'

Simplify the following boolean function, using three-variable maps:


F(x, y, z) =  Σ(1, 4, 5, 6, 7)

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