Explore topic-wise MCQs in Network Theory.

This section includes 5 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.

10.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<sup>(-as)</sup>)
B. 1/s(1-e<sup>(-as)</sup>)
C. 1/s(1+e<sup>as</sup>)
D. 1/s(1-e<sup>as</sup>)
Answer» C. 1/s(1+e<sup>as</sup>)
Discussion
2.

Find the Laplace transform of the function f (t) = tsin2t.

A. 4s/(s<sup>2</sup>+4)<sup>2</sup>
B. -4s/(s<sup>2</sup>+4)<sup>2</sup>
C. -4s/(s<sup>2</sup>-4)<sup>2</sup>
D. 4s/(s<sup>2</sup>-4)<sup>2</sup>
Answer» B. -4s/(s<sup>2</sup>+4)<sup>2</sup>
Discussion
3.

Find the Laplace transform of ramp function r (t) = t.

A. 1/s
B. 1/s<sup>2</sup>
C. 1/s<sup>3</sup>
D. 1/s<sup>4</sup>
Answer» C. 1/s<sup>3</sup>
Discussion
4.

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

A. 72/s<sup>5</sup> 12/s<sup>4</sup> + 4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
B. 72/s<sup>5</sup> 12/s<sup>4</sup> + 4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
C. 72/s<sup>5</sup> 12/s<sup>4</sup> 4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
D. 72/s<sup>5</sup> 12/s<sup>4</sup> 4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
Answer» C. 72/s<sup>5</sup> 12/s<sup>4</sup> 4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
Discussion
5.

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

A. 24/s<sup>4</sup> + 2/s<sup>3</sup> + 6/s<sup>2</sup> + 7/s
B. 24/s<sup>4</sup> 2/s<sup>3</sup> 6/s<sup>2</sup> + 7/s
C. 24/s<sup>4</sup> + 2/s<sup>3</sup> 6/s<sup>2</sup> + 7/s
D. 24/s<sup>4</sup> 2/s<sup>3</sup> + 6/s<sup>2</sup> + 7/s
Answer» D. 24/s<sup>4</sup> 2/s<sup>3</sup> + 6/s<sup>2</sup> + 7/s
Discussion