Definition of the Laplace Transform MCQ’s

Read Time:2 Minute, 7 Second

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Definition of the Laplace Transform”.

1. Laplace transform changes the ____ domain function to the _____ domain function.
a) time, time
b) time, frequency
c) frequency, time
d) frequency, frequency

2. In the bilateral Laplace transform, the lower limit is?
a) 0
b) 1
c) ∞
d) – ∞

3. The Laplace transform of a function f (t) is?
a) ∫∞0 f(t) e-st
b) ∫0−∞ f(t) e-st
c) ∫∞0 f(t) est
d) ∫0−∞ f(t) est

4. The unit step is not defined at t =?
a) 0
b) 1
c) 2
d) 3

5. Find the function f2 (t) from the time t = 1 to 3 sec.
a) (-10t+20) [u (t-1) +u (t-3)]
b) (-10t+20) [u (t-1) – u (t-3)]
c) (-10t-20) [u (t-1) + u (t-3)]
d) (-10t-20) [u (t-1) – u (t-3)]

6. Find the expression of f (t) in the graph shown below.

network-theory-questions-answers-definition-laplace-q5

a) 10t [u (t) – u (t – 1)] – (-10t+20) [u (t-1) – u (t-3)] + (20t – 40) [u (t-3) – u (t-4)]
b) 10t [u (t) – u (t – 1)] – (-10t+20) [u (t-1) – u (t-3)] – (20t – 40) [u (t-3) – u (t-4)]
c) 10t [u (t) – u (t – 1)] + (-10t+20) [u (t-1) – u (t-3)] + (20t – 40) [u (t-3) – u (t-4)]
d) 10t [u (t) – u (t – 1)] + (-10t+20) [u (t-1) – u (t-3)] – (20t – 40) [u (t-3) – u (t-4)]

7. The total period of the function shown in the figure is 4 sec and the amplitude is 10. Find the function f1 (t) from t = 0 to 1 in terms of unit step function.

network-theory-questions-answers-definition-laplace-q5

a) 10t [u (t) – u (t + 1)]
b) 10t [u (t) + u (t – 1)]
c) 10t [u (t) + u (t + 1)]
d) 10t [u (t) – u (t – 1)]

8. Find the function f3 (t) from the time t = 3 to 4 sec.
a) (20t – 40) [u (t-3) – u (t-4)]
b) (20t + 40) [u (t-3) – u (t-4)]
c) (20t + 40) [u (t-3) + u (t-4)]
d) (20t – 40) [u (t-3) + u (t-4)]

9. In the graph shown below, find the expression f (t).

network-theory-questions-answers-definition-laplace-q9

a) 2t
b) 3t
c) 4t
d) 5t

10. Find the function f (t) in terms of unit step function in the graph shown below.

network-theory-questions-answers-definition-laplace-q9

a) 4t [u (t) – u (t + 5)]
b) 4t [u (t) + u (t + 5)]
c) 4t [u (t) – u (t – 5)]
d) 4t [u (t) + u (t – 5)]

Happy
Happy
0 %
Sad
Sad
0 %
Excited
Excited
0 %
Sleepy
Sleepy
0 %
Angry
Angry
0 %
Surprise
Surprise
0 %

Average Rating

5 Star
0%
4 Star
0%
3 Star
0%
2 Star
0%
1 Star
0%

Leave a Reply

Your email address will not be published. Required fields are marked *

Previous post Power Measurement in Three-Phase Circuits MCQ’s
Next post Operational Transforms MCQ’s