Explore topic-wise MCQs in Network Theory Questions and Answers.

This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

If u (t) = 1 for t >= 0 and u (t) = 0 for t < 0, determine the Laplace transform of [u (t) – u (t – a)].

A. 1/s(1+e(-as))
B. 1/s(1-e(-as))
C. 1/s(1+eas)
D. 1/s(1-eas)
Answer» C. 1/s(1+eas)
Discussion
2.

Find the Laplace transform of (t + 2)2 et.

A. 2/(s-1)3 – 2/(s-1)2 + 4/(s-1)
B. 2/(s-1)3 – 2/(s-1)2 – 4/(s-1)
C. 2/(s-1)3 + 2/(s-1)2 + 4/(s-1)
D. 2/(s-1)3 + 2/(s-1)2 – 4/(s-1)
Answer» D. 2/(s-1)3 + 2/(s-1)2 – 4/(s-1)
Discussion
3.

Find the Laplace transform of eatsinbt.

A. b/((s-a)2+b2)
B. b/((s+a)2+b2)
C. b/((s+a)2-b2)
D. b/((s-a)2-b2)
Answer» B. b/((s+a)2+b2)
Discussion
4.

Find the Laplace transform of the function f (t) = 3t4 – 2t3 + 4e-3t – 2sin5t + 3cos2t.

A. 72/s5 – 12/s4 + 4/(s+3)+10/(s2+25)+3s/(s2+4)
B. 72/s5 – 12/s4 + 4/(s+3)-10/(s2+25)+3s/(s2+4)
C. 72/s5 – 12/s4 – 4/(s+3)+10/(s2+25)+3s/(s2+4)
D. 72/s5 – 12/s4 – 4/(s+3)-10/(s2+25)+3s/(s2+4)
Answer» C. 72/s5 – 12/s4 – 4/(s+3)+10/(s2+25)+3s/(s2+4)
Discussion
5.

Find the Laplace transform of the function f (t) = 4t3 + t2 – 6t + 7.

A. 24/s4 + 2/s3 + 6/s2 + 7/s
B. 24/s4 – 2/s3 – 6/s2 + 7/s
C. 24/s4 + 2/s3 – 6/s2 + 7/s
D. 24/s4 – 2/s3 + 6/s2 + 7/s
Answer» D. 24/s4 – 2/s3 + 6/s2 + 7/s
Discussion
6.

The Laplace transform of f1 (t) + f2 (t) is?

A. F1(s) + F2(s)
B. F1(s) – F2(s)
C. F1(s) – 2F2(s)
D. F1(s) + 2F2(s)
Answer» B. F1(s) – F2(s)
Discussion