Laplace Transform MCQ Questions with Answers

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Laplace transform is the method of transforming a function from time domain into s domain. Laplace transform is a very handy tool in control systems. It is a very useful tool for solving differential equations.

Laplace transformer can be best defined as

Laplace transformer can be best defined as:

  1. Method of transforming the function from the time domain to s domain
  2. Method of transforming the function from s domain to time domain
  3. Method of transforming analog to digital function
  4. Method of transforming digital to analog function

Correct answer: 1. Method of transforming the function from the time domain to s domain

Laplace transformer of a function f(t) is expressed by the formula

Laplace Transform MCQ#1: Laplace transform of a function f(t) is expressed by formula:

Correct answer: 3. f(t)e^-st dt is the correct expression for representing Laplace transform of function f(t)

Laplace Transform of Unit Impulse function is

Laplace Transform of Unit Impulse function is:

  1. 1
  2. s
  3. 1/s
  4. 2s

Correct answer: 1. 1

Laplace Transform of Unit Step Function is

Laplace Transform of Unit Step Function is:

  1. 1
  2. s
  3. 1/s
  4. 2s

Correct answer: 3. 1/s

Laplace Transform of function e-at is

Laplace Transform of function e-at is:

  1. 1/s
  2. -1/s
  3. 1/(s+a)
  4. 1/(s-a)

Correct answer: 3. 1/(s+a)

Laplace Transform of exponential function e-at is 1/s+a

Laplace Transform of function eat is

Laplace Transform of function e-at is:

  1. 1/s
  2. -1/s
  3. 1/(s+a)
  4. 1/(s-a)

Correct answer: 4. 1/(s-a)

Laplace Transform of exponential function eat is 1/s-a

Laplace Transform of Function sin ωt is

Laplace Transform of Function sin ωt is:

  1. 1/( s2 + ω2 )
  2. 1/( s2 – ω2 )
  3. ω/( s2 + ω2 )
  4. ω/( s2 – ω2 )

Correct answer: 3. ω/( s2 + ω2 )

Laplace Transform of Sine Function sin ωt is ω/( s2 + ω2 )

Laplace Transform of Function cos ωt is

Laplace Transform of cosine wave Function cos ωt is:

  1. s/( s2 + ω2 )
  2. s/( s2 – ω2 )
  3. ω/( s2 + ω2 )
  4. ω/( s2 – ω2 )

Correct answer: 1. s/( s2 + ω2 )

Laplace Transform of cos Function cos ωt is s/( s2 + ω2 )

Laplace transform is an integral transform that converts a function of a real variable to a function of a complex variable

Laplace transform is an integral transform that converts a function of a real variable to a function of a complex variable:

  1. True
  2. False

Correct answer: 1. True

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