Explore topic-wise MCQs in Network Theory.

This section includes 19 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.

1.

The inverse transform of the function k/(s+a) is?a) ke-at u(t)b) keat u(t)c) ke-at u(t-a)d) keat u(t-

A. is?a) ke-at u(t)
B. keat u(t)
C. ke-at u(t-a)
D. keat u(t-a)
Answer» C. ke-at u(t-a)
Discussion
2.

For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions. What is the inverse transform of F (s) is?

A. 1+ 1/2 e(-1+j2)t-1/2 e(-1-j2)t
B. 1+ 1/2 e(-1+j2)t+1/2 e(-1-j2)t
C. 1- 1/2 e(-1+j2)t-1/2 e(-1-j2)t
D. 1- 1/2 e(-1+j2)t+1/2 e(-1-j2)t
Answer» D. 1- 1/2 e(-1+j2)t+1/2 e(-1-j2)t
Discussion
3.

For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions. What is the expression of F (s) after splitting into partial fractions is?

A. 1/s-1/2(s+1-j2) -1/2(s+1+j2)
B. 1/s+1/2(s+1-j2) -1/2(s+1+j2)
C. 1/s+1/2(s+1-j2) +1/2(s+1+j2)
D. 1/s-1/2(s+1-j2) +1/2(s+1+j2)
Answer» B. 1/s+1/2(s+1-j2) -1/2(s+1+j2)
Discussion
4.

For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions, determine the co-efficient of 1/(s+1-j2)?

A. -1/4
B. 1/4
C. -1/2
D. 1/2
Answer» D. 1/2
Discussion
5.

For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions, the co-efficient of 1/(s+1-j2) is?

A. 1/2
B. -1/2
C. 1/4
D. -1/4
Answer» C. 1/4
Discussion
6.

For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions, 1/s co-efficient is?

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
Discussion
7.

For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions. Find the partial fraction expansion of the function.

A. 1/15s-2.1/(s+5)+1.17/(s+3)
B. 1/15s-2.1/(s+5)-1.17/(s+3)
C. 1/15s+2.1/(s+5)+1.17/(s+3)
D. 1/15s+2.1/(s+5)-1.17/(s+3)
Answer» E.
Discussion
8.

For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, co-efficient of 1/(s+3) is?

A. -1.17
B. 1.17
C. -2.27
D. 2.27
Answer» B. 1.17
Discussion
9.

For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of 1/(s+5) is?

A. 1.1
B. 2.1
C. 3.1
D. 4.1
Answer» C. 3.1
Discussion
10.

For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of the term 1/s is?

A. 1/5
B. 1/10
C. 1/15
D. 1/20
Answer» D. 1/20
Discussion
11.

THE_INVERSE_TRANSFORM_OF_THE_FUNCTION_K/(S+A)_IS??$

A. ke<sup>-at</sup> u(t)
B. ke<sup>at</sup> u(t)
C. ke<sup>-at</sup> u(t-a)
D. ke<sup>at</sup> u(t-a)
Answer» C. ke<sup>-at</sup> u(t-a)
Discussion
12.

The inverse transform of F (s) in the question 5 is?

A. 1+ 1/2 e<sup>(-1+j2)t</sup>-1/2 e<sup>(-1-j2)t</sup>
B. 1+ 1/2 e<sup>(-1+j2)t</sup>+1/2 e<sup>(-1-j2)t</sup>
C. 1- 1/2 e<sup>(-1+j2)t</sup>-1/2 e<sup>(-1-j2)t</sup>
D. 1- 1/2 e<sup>(-1+j2)t</sup>+1/2 e<sup>(-1-j2)t</sup>
Answer» D. 1- 1/2 e<sup>(-1+j2)t</sup>+1/2 e<sup>(-1-j2)t</sup>
Discussion
13.

The expression of F (s) after splitting into partial fractions in the question 5 is?

A. 1/s-1/2(s+1-j2) -1/2(s+1+j2)
B. 1/s+1/2(s+1-j2) -1/2(s+1+j2)
C. 1/s+1/2(s+1-j2) +1/2(s+1+j2)
D. 1/s-1/2(s+1-j2) +1/2(s+1+j2)
Answer» B. 1/s+1/2(s+1-j2) -1/2(s+1+j2)
Discussion
14.

For the question 5, determine the co-efficient of 1/(s+1-j2)?

A. -1/4
B. 1/4
C. -1/2
D. 1/2
Answer» D. 1/2
Discussion
15.

For the question 5, the co-efficient of 1/(s+1-j2) is?

A. 1/2
B. -1/2
C. 1/4
D. -1/4
Answer» C. 1/4
Discussion
16.

For the function F (s) = (s+5)/s(s2+2s+5) , after splitting this function into the partial fractions, 1/s co-efficient is?

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
Discussion
17.

The partial fraction expansion of the function in question 1 is?

A. 1/15s-2.1/(s+5)+1.17/(s+3)
B. 1/15s-2.1/(s+5)-1.17/(s+3)
C. 1/15s+2.1/(s+5)+1.17/(s+3)
D. 1/15s+2.1/(s+5)-1.17/(s+3)
Answer» E.
Discussion
18.

For the question 1, the co-efficient of 1/(s+5) is?

A. 1.1
B. 2.1
C. 3.1
D. 4.1
Answer» C. 3.1
Discussion
19.

For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of the term 1/s is?

A. 1/5
B. 1/10
C. 1/15
D. 1/20
Answer» D. 1/20
Discussion