RL परिपथ में धारा I(s), \(\rm I(s)=\frac{1.5}{s+4}\) दी गई है, तब  t > 0 के लिए i(t) ज्ञात कीजिए।

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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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अवधारणा

व्युत्क्रम लाप्लास रूपांतरण

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

जहाँ, k = अचर

परिकलन

दिया गया है, \(\rm I(s)=\frac{1.5}{s+4}\)

तुलना करने पर, k = 1.5 और a = 4

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

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