यदि लाइन प्रेरकत्व 169 H और धारिता 64 F है तो संचरण लाइन की प्रोत्कर्ष प्रतिबाधा का मान क्या होगा?

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PGCIL DT Electrical 5 May 2023 Official Paper
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  1. 1.6 ओम 
  2. 2.6 ओम 
  3. 4.6 ओम 
  4. 8.9 ओम 

Answer (Detailed Solution Below)

Option 1 : 1.6 ओम 
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संकल्पना:

अभिलक्षण प्रतिबाधा \({{Z}_{C}}=\sqrt{\frac{L}{C}}\)

जहां L  प्रति कला लाइन प्रेरकत्व है,

C प्रति कला लाइन धारिता है,

प्रोत्कर्ष प्रतिबाधा भरण के तहत शक्ति स्थानांतरण क्षमता निम्न द्वारा दी जाती है,

\({{P}_{SIL}}=\frac{{{V}^{2}}}{{{Z}_{C}}}\)

गणना:

मान लें कि,

लाइन प्रेरकत्व (L) = 169 H 

लाइन धारिता (C) = 64 F

\({{Z}_{C}}=\sqrt{\frac{L}{C}}=\sqrt{\frac{169}{64}}=1.6~\text{ }\!\!\Omega\!\!\text{ }\)

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