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:

- Method of transforming the function from the time domain to s domain
- Method of transforming the function from s domain to time domain
- Method of transforming analog to digital function
- 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
- s
- 1/s
- 2s

Correct answer: 1. 1

## Laplace Transform of Unit Step Function is

Laplace Transform of Unit Step Function is:

- 1
- s
- 1/s
- 2s

Correct answer: 3. 1/s

## Laplace Transform of function e^{-at} is

Laplace Transform of function e^{-at} is:

- 1/s
- -1/s
- 1/(s+a)
- 1/(s-a)

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

*Laplace Transform of exponential function e*^{-at}* is 1/s+a *

## Laplace Transform of function e^{at} is

Laplace Transform of function e^{-at} is:

- 1/s
- -1/s
- 1/(s+a)
- 1/(s-a)

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

*Laplace Transform of exponential function e*^{at}* is 1/s-a*

## Laplace Transform of Function sin ωt is

Laplace Transform of Function sin ωt is:

- 1/(
*s*^{2}+ ω^{2}) - 1/(
*s*^{2}– ω^{2}) - ω/(
*s*^{2}+ ω^{2}) - ω/(
*s*^{2}– ω^{2})

Correct answer: 3. ω/( *s*^{2} + ω^{2} )

Laplace Transform of Sine Function sin ωt is ω/( *s*^{2} + ω^{2} )

## Laplace Transform of Function cos ωt is

Laplace Transform of cosine wave Function cos ωt is:

- s/(
*s*^{2}+ ω^{2}) - s/(
*s*^{2}– ω^{2}) - ω/(
*s*^{2}+ ω^{2}) - ω/(
*s*^{2}– ω^{2})

Correct answer: 1. s/( *s*^{2} + ω^{2} )

Laplace Transform of cos Function cos ωt is s/( *s*^{2} + ω^{2} )

## 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:

- True
- False

Correct answer: 1. True