एक अतिअवमंदित दूसरे क्रम प्रणाली की आवृत्ति प्रतिक्रिया का परिमाण 0 रेड/सेकंड पर 5 है और 5 √2 रेड/सेकंड पर पर शीर्ष है। प्रणाली का स्थानांतरण फलन है

This question was previously asked in
UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
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Answer (Detailed Solution Below)

Option 1 :
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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अवधारणा:

DC लब्धि = 5

100 [4ε2 (1 – ε2)] = 3

400 ε2– 400 ε4 = 3

400x2 – 400 x + 3 = 0  

x2 – x + 0.0075 = 0

ξ2 = 0.99244 , ξ2 = 0.00755

ξ = 0.99 , ξ = 0.08689

यदि अनुनाद शिखर > 1 तब

 

∴ ξ = 0.08689

ωn = 7 rad/s

= s2+ 1.21 s + 49

अब  

K = 49 × 5 = 245

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