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The impulse response of e-3t is :

This question was previously asked in
MPPKVVCL Jabalpur JE Electrical 16 August 2018 Official Paper
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  1. \(\rm \frac{1}{s+3}\)
  2. \(\rm \frac{1}{s+9}\)
  3. \(\rm \frac{1}{s-3}\)
  4. \(\rm \frac{1}{s-9}\)

Answer (Detailed Solution Below)

Option 1 : \(\rm \frac{1}{s+3}\)
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Detailed Solution

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Concept:

The Laplace transform of a general exponential signal is given 

\(L[e^{-at}]\longleftrightarrow \frac{1}{s+a} \)

where 'a' is any positive integer.

Calculation:

Given, f (t) = e-3t 

The Laplace transform is given as

F(s) = \(\frac{1}{s+3} \)

The impulse response of e-3t is 

F(s) = \(\frac{1}{s+3} \)
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