Current I(s) in RL circuit is given as \(\rm I(s)=\frac{1.5}{s+4}\) Obtain i(t) for t > 0

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RRB JE EE 22 Apr 2025 Shift 2 CBT 2 Official Paper
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  1. 1.5 e4t
  2. 1.5 e-4t
  3. 1.5 t
  4. 1.5 et

Answer (Detailed Solution Below)

Option 2 : 1.5 e-4t
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Detailed Solution

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Concept

The inverse Laplace Transform of 

\({k\over s+a}=ke^{-at}\)

where, k = Constant

Calculation

Given, \(\rm I(s)=\frac{1.5}{s+4}\)

On comparison, k = 1.5 and a = 4

\({1.5\over s+4}=1.5e^{-4t}\)

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