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Alternating Current question

2022 · Q157
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Alternating Current question

2022 · Q157

NEETPhysicsAlternating CurrentMCQ+4 / −1

An inductor of inductance 2 mH is connected to a 220 V, 50 Hz ac source. Let the inductive reactance in the circuit is X1. If a 220 V dc source replace the ac source in the circuit, then the inductive reactance in the circuit is X2. X1 and X2 respectively are :

  1. A
    0.628 Ω\OmegaΩ, infinity
  2. B
    6.28 Ω\OmegaΩ, zero
  3. C
    6.28 Ω\OmegaΩ, infinity
  4. D
    0.628 Ω\OmegaΩ, zero
View written solutionFree

Correct answer: D

We know, for A.C. source

${X_L} = \omega L$

$ = 2\pi f(L)$

$$ = 100\pi (2 \times {10^{ - 3}})$$

$$ = 0.2\pi \,\Omega = 0.628\,\Omega $$

For D.C. source

The inductor behaves as a closed circuit offering no resistance at all (at steady state) as $\omega = 0$ (For D.C.)

$\therefore$ ${X_L} = 0\,\Omega $

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