एक इकाई चरण वोल्टेज u(t - 5) नीचे RL नेटवर्क पर लागू होता है। धारा को किसके द्वारा दिया जाता है?

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UPPSC AE Electrical 2019 Official Paper I (Held on 13 Dec 2020)
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  1. 1 - e-t
  2. [1 - e-(t - 5)]u(t - 5)
  3. [1 - e-t]u(t - 5)
  4. 1 - e-(t - 5)

Answer (Detailed Solution Below)

Option 2 : [1 - e-(t - 5)]u(t - 5)
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Detailed Solution

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संकल्पना:

फ़लन f(t) का लाप्लास रूपांतर F(s) निम्न द्वारा परिभाषित किया गया है:

लाप्लास रूपांतर के समय-स्थानांतरण गुण से:

गणना​:

दिए गए नेटवर्क के लिए लाप्लास समकक्ष नेटवर्क है,

धारा I(s) को निम्न द्वारा दिया गया है

व्युत्क्रम लाप्लास रूपांतर को लागू करके,

⇒ i(t) = [1 – e-(t - 5)]u(t - 5)

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