विद्युत परिपथ में, यदि विद्युत, वोल्टता और प्रतिरोध का प्रतिनिधित्व क्रमशः P, V और R द्वारा किया जाता है, तो उनके बीच सही संबंध है:

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RRB Group D 16 Sept 2022 Shift 1 Official Paper
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  1. \(\rm P = {V^2 \over R}\)
  2. P = VR2
  3. \(\rm P = {V^2 \over R^2}\)
  4. P = V2R

Answer (Detailed Solution Below)

Option 1 : \(\rm P = {V^2 \over R}\)
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Detailed Solution

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सही उत्तर है- \(\rm P = {V^2 \over R}\)


प्रमुख बिंदु

  • विद्युत शक्ति (electric power) वह दर होती है जिस पर कार्य किया जाता है या ऊर्जा को विद्युत परिपथ (electrical circuit) में परिवर्तित किया जाता है।
  • यह एक चकोर मात्रा है।
  • विद्युत शक्ति के लिए सूत्र द्वारा दिया गया है, \(P=VI\)
  • लेकिन, हम ओम के कानून के अनुसार जानते हैं: \(V=IR\)
  • अतः हमारे पास है \(I={V\over R}\)
  • I को ,बिजली समीकरण में प्रतिस्थापन करके  हमारे पास है: \(P={V*V\over R}={V^2\over R}\)
  • अतः  .\(P={V^2 \over R}\)
 
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