उपरोक्त बंद पाश प्रणाली की अभिलक्षण समीकरण __________ है।

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ESE Electronics 2010 Paper 2: Official Paper
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  1. s2 + 11s + 10 = 0
  2. s2 + 11s + 130 = 0
  3. s2 + 10s + 120 = 0
  4. s2 + 10s + 12 = 0

Answer (Detailed Solution Below)

Option 2 : s2 + 11s + 130 = 0
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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अवधारणा:

अभिलक्षण समीकरण "q (s)", 1 + G(s)H(s) = 0 का संख्यात्मक भाग है

जहां G(s)H(s) खुला पाश अन्तरण फलन है

माना,

-----(1)

तो, 1 + G(s)H(s) = 0 के रूप में लिखा जा सकता है:

⇒ q(s) = p(s) + z(s) = 0 अभिलक्षण समीकरण है। ----- (2)

विश्लेषण:

G(s) = 4 × (3/s+1)

H(s) = 10/(s+10)

अभिलक्षण समीकरण निम्न प्रकार है:

1+ G(s) H(s) = 0

(s+1)(s+10) + 120 = 0

s2 + 11s + 130 = 0

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