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Signals and Systems
Laplace Transform
Laplace Transform Calculation

Questions mapped to Laplace Transform Calculation under Laplace Transform.

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Q#1 Laplace Transform GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

If  is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal  is

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Q#2 Laplace Transform GATE EE 2019 (Set 1) MCQ +1 mark -0.33 marks

The inverse Laplace transform of  

 is        

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Q#3 Laplace Transform GATE EE 2016 (Set 1) MCQ +1 mark -0.33 marks

The Laplace Transform of  is

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Q#4 Laplace Transform GATE EE 2016 (Set 2) MCQ +1 mark -0.33 marks

Consider a causal LTI system characterized by differential equation . The response of the system to the input , where u(t) denotes the unit step function, is

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Q#5 Laplace Transform GATE EE 2014 (Set 2) MCQ +1 mark -0.33 marks

Consider an LTI system with impulse response. If the output of the system is  then the input, x(t), is given by

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Q#6 Laplace Transform GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

The impulse response of a system is h(t)=t u(t) . for an input u(t-1), the output is

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Q#7 Laplace Transform GATE EE 2010 (Set 1) MCQ +2 marks -0.66 marks

Given f(t) and g(t) as shown below:        

g(t) can be expressed as        

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Q#8 Laplace Transform GATE EE 2010 (Set 1) MCQ +2 marks -0.66 marks

Given f(t) and g(t) as shown below:        

The Laplace transform of g(t) is        

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Q#9 Laplace Transform GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

The running integrator, given by

Has no finite singularities in its double sided Laplace Transform Y(s)

Produces a bounded output for every causal bounded input

Produces a bounded output for every anti casual bounded input

Has no finite zeros in its double sided Laplace Transform Y(s)

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Q#10 Laplace Transform GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

A rectangular current pulse of duration T and magnitude I has the Laplace transform

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