Physics - Electromagnetic Induction and Alternating Current

Physics
Physics - Electromagnetic Induction and Alternating Current

किसी परिपथ को आपूर्ति किया गया वोल्टेज V = V0 त्रि/2 घात (V = V0 t^(3/2)) द्वारा दिया जाता है, जहाँ t सेकण्ड में समय है। अवधि t=0 से t=1 सेकण्ड के लिए वोल्टेज का RMS मान है :


Options:

  1. V0
  2. V0/√2
  3. V0/2
  4. V0/(2√2)

Right Answer: V0/2

RMS (Root Mean Square) मान का सूत्र V_rms = √((1/T)∫₀ᵀ V²dt) होता है। यहाँ समय T=1 और V² = (V₀t^(3/2))² = V₀²t³ है। समाकलन करने पर: ∫₀¹ V₀²t³dt = V₀²[t⁴/4]₀¹ = V₀²/4। अतः V_rms = √(V₀²/4) = V₀/2।

This question is part of Physics - Electromagnetic Induction and Alternating Current, which has 4 practice questions with answers.

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