शक्ति गुणक कोण (φ) ________ होने पर ट्रांसफार्मर का वोल्टेज नियमन ऋणात्मक होगा।

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MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper
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  1. \(\varphi>\tan ^{-1}\left(\frac{R}{X}\right)\)
  2. \(\varphi=\tan ^{-1}\left(\frac{R}{X}\right)\)
  3. \(\varphi<\tan ^{-1}\left(\frac{R}{X}\right)\)
  4. φ > 0

Answer (Detailed Solution Below)

Option 1 : \(\varphi>\tan ^{-1}\left(\frac{R}{X}\right)\)
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Detailed Solution

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वोल्टेज नियमन

एकल-फेज ट्रांसफॉर्मर का वोल्टेज नियमन, इसकी द्वितीयक टर्मिनल वोल्टेज में प्रतिशत (या प्रति यूनिट मान) परिवर्तन है, इसकी तुलना में मूल नो-लोड वोल्टेज अलग-अलग द्वितीयक लोड स्थितियों के तहत।

वोल्टेज नियमन दिया गया है:

% \(VR={V_{nl}-V_{fl}\over V_{nl}}\times 100\)

वोल्टेज नियमन वक्र:

qImage65d9aaf5324ccf60f9e4e46c

व्याख्या

वोल्टेज नियमन की गणना इस प्रकार की जाती है:

\(VR=IR \space cos\phi \space + \space IX \space sin\phi\)

ऋणात्मक वोल्टेज नियमन के लिए:

\(IR \space cos\phi \space + \space IX \space cos\phi \space <0\)

\( sin\phi \space <{-R\over X}\space cos\phi\)

\( tan\phi \space <{-R\over X}\space \)

\( tan\phi \space >{R\over X}\space \)

\(\varphi>\tan ^{-1}\left(\frac{R}{X}\right)\)

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