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BITSAT 2009
Exam
BITSAT
Year
2009
Subject
Physics
Chapter
Alternating Current

BITSAT 2009 · Physics · Alternating Current

A coil has resistance 30 ohm and inductive reactance 20 ohm at 50...

A coil has resistance 30 ohm and inductive reactance 20 ohm at 50Hz50 \mathrm{ Hz} frequency. If an ac source, of 200 volt, 100Hz,100 \mathrm{ Hz}, is connected across the coil, the current in the coil will be

Options

  1. A4.0A4.0 \mathrm{ A}
  2. B8.0A8.0 \mathrm{ A}
  3. C7.2A7.2 \mathrm{ A}
  4. D2.0A2.0 \mathrm{ A}

Correct answer

A. 4.0A4.0 \mathrm{ A}

Step-by-step solution

If ω=50×2π\omega=50 \times 2 \pi then ωL=20Ω\omega \mathrm{L}=20 \Omega If ω′=100×2π\omega^{\prime}=100 \times 2 \pi then ω′L=40Ω\omega^{\prime} \mathrm{L}=40 \Omega Current flowing in the coil is I=200Z=200R2+(ω′L)2=4A\mathrm{I}=\frac{200}{\mathrm{Z}}=\frac{200}{\sqrt{\mathrm{R}^{2}+\left(\omega^{\prime} \mathrm{L}\right)^{2}}}=4 \mathrm{ A}
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