100 MVAR के एक शंट प्रतिघातक को इसके रेटेड वोल्टेज के 98% तथा इसकी रेटेड आवृत्ति के 96% पर क्रियान्वयित किया जाता है। प्रतिघातक द्वारा अवशोषित प्रतिघाती शक्ति कितनी होगी?

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ISRO (VSSC) Technical Assistant Electrical 2017 Official Paper
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  1. 98 MVAR
  2. 10.402 MVAR
  3. 96.04 MVAR
  4. 100.04 MVAR

Answer (Detailed Solution Below)

Option 4 : 100.04 MVAR
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कॉन्सेप्ट:

हमें ज्ञात है कि

\(Q = \frac{{{V^2}}}{{{X_L}}} = \frac{{{V^2}}}{{2\pi fL}}\)

\(\frac{{{Q_2}}}{{{Q_1}}} = {\left( {\frac{{{V_2}}}{{{V_1}}}} \right)^2} \times \left( {\frac{{{f_1}}}{{{f_2}}}} \right)\)

गणना:

\({Q_2} = 100\;MVAR{\left[ {\frac{{0.98{V_1}}}{{{V_1}}}} \right]^2}\left[ {\frac{{{f_1}}}{{0.96{f_1}}}} \right]\)

= 100.042 MVAR

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