एक AC परिपथ के लिए, वोल्टेज और धारा क्रमशः V = (100 + j10) V और I = (20 - j10) A के रूप में दिए गए हैं। परिपथ की सक्रिय शक्ति है:

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. P = 1000 W
  2. P = 1900 W 
  3. P = 1500 W
  4. P = 1800 W

Answer (Detailed Solution Below)

Option 2 : P = 1900 W 
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AC परिपथ में शक्ति

सक्रिय शक्ति निम्न द्वारा दी जाती है:

\(P=VIcos(\theta_v-\theta_i)\)

प्रतिघाती शक्ति निम्न द्वारा दी जाती है::

\(Q=VIsin(\theta_v-\theta_i)\)

आभासी शक्ति निम्न द्वारा दी गई है:

\(S=\sqrt{P^2+Q^2}\)

गणना

दिया गया है, V = (100 + j10) V = 100.49∠5.71° 

I = (20 − j10) A = 22.36∠-26.56° 

\(P=100.49\times22.36 \times cos(5.71-(-26.56))\)

P = 1900 W 

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