e-3t की आवेग अनुक्रिया कौन सी है?

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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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अवधारणा:

एक सामान्य घातीय संकेत का लाप्लास रूपांतरण दिया गया है

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

जहाँ 'a' कोई धनात्मक पूर्णांक है।

गणना:

दिया गया है, f (t) = e-3t

लाप्लास परिवर्तन इस प्रकार दिया जाता है

F(s) = \(\frac{1}{s+3} \)

e-3t की आवेग अनुक्रिया है 

F(s) = \(\frac{1}{s+3} \)

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