एक विद्युत परिपथ का प्रवेश्यता को Y = (3 + j4) द्वारा दर्शाया जाता है। इस परिपथ में प्रतिरोध का मान क्या है?

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. \(\frac{2}{25}\Omega\)
  2. \(\frac{4}{25}\Omega\)
  3. \(\frac{1}{25}\Omega\)
  4. \(\frac{3}{25}\Omega\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{3}{25}\Omega\)
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Detailed Solution

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संकल्पना:

प्रतिबाधा (Z) = \({1\over Admittance (Y)}\)

Z = R + jX

जहाँ, R = प्रतिरोध और X = प्रतिघात

Y = G + jB

जहाँ, G = चालकता & B = आग्राहिता

गणना:

दिया गया है, Y = 3 + j4

\(Z={1\over 3+j4}\)

\(Z={1\over 3+j4}\times{3-j4\over 3-j4}\)

\(Z={1\over 25}(3-j4)\)

प्रतिरोध, R = \(\frac{3}{25}\Omega\)

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