फलन f(t) = e-at का लाप्लास क्या है?

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PGCIL DT Electrical 5 May 2023 Official Paper
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  1. s/s + a
  2. 1/s + a
  3. 1/s - a
  4. s + a

Answer (Detailed Solution Below)

Option 2 : 1/s + a
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Detailed Solution

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अवधारणा:

द्विपक्षीय लाप्लास परिवर्तन:

एकतरफा लाप्लास परिवर्तन:

---(I)

x(t) = e-at u(t),

Additional Information

 

f(t)

f(s)

ROC

1.

δ(t)

1

पूर्ण s-plane

2.

e-at u(t)

s > - a

3.

e-at u(-t)

s < - a

4.

cos ω0 t u(t)

s > 0

5.

te-at u(t)

s > - a

6.

sin ω0t u(t)

s > 0

7.

u(t)

1/s

s > 0

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