एक R-L श्रेणी परिपथ, जहाँ R = 10 Ω और L = 0.056 H, 50 Hz आवृत्ति की AC आपूर्ति से जुड़ा है। परिपथ की प्रतिबाधा का परिमाण है:

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SSC JE Electrical 07 Jun 2024 Shift 3 Official Paper - 1
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  1. 30.23 Ω
  2. 5.23 Ω
  3. 20.23 Ω
  4. 10.23 Ω

Answer (Detailed Solution Below)

Option 3 : 20.23 Ω
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अवधारणा

श्रेणी RL परिपथ की प्रतिबाधा निम्न द्वारा दी जाती है:

\(Z=R+jX_L\)

\(Z=R+jω L\)

प्रतिबाधा का परिमाण है:

\(\left | Z \right |=\sqrt{R^2+X_L^2}\)

गणना

दिया गया है, R = 10 Ω और L = 0.056 H

f = 50 Hz

ω = 2πf = 314 रेडियन

XL = ω × L

XL = 314 × 0.056 = 17.584 Ω 

\(\left | Z \right |=\sqrt{(10)^2+(17.584)^2}\)

\(\left | Z \right |=20.23\space \Omega\)

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