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JIPMER 2010
Exam
JIPMER
Year
2010
Subject
Physics
Chapter
Electromagnetic Induction

JIPMER 2010 · Physics · Electromagnetic Induction

The impedance of a circuit, when a resistance R and an inductor of...

The impedance of a circuit, when a resistance RR and an inductor of inductance LL are connected in series in an AC circuit of frequency ff, is

Options

  1. AR+2π2f2L2\sqrt{R+2 \pi^2 f^2 L^2}
  2. BR+4π2f2L2\sqrt{R+4 \pi^2 f^2 L^2}
  3. CR2+4π2f2L2\sqrt{R^2+4 \pi^2 f^2 L^2}
  4. DR2+2π2f2L2\sqrt{R^2+2 \pi^2 f^2 L^2}

Correct answer

C. R2+4π2f2L2\sqrt{R^2+4 \pi^2 f^2 L^2}

Step-by-step solution

In L−RL-R circuit, Impedance Z=R2+XL2Z=\sqrt{R^2+X_L^2} Here, XL=ωL=2πfL\quad X_L=\omega L=2 \pi f L ∴Z=R2+4π2f2L2\therefore \quad Z=\sqrt{R^2+4 \pi^2 f^2 L^2}
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