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JIPMER 2004
Exam
JIPMER
Year
2004
Subject
Physics
Chapter
Alternating Current

JIPMER 2004 · Physics · Alternating Current

A lamp in which 10 amp current can flow at 15 V, is connected with...

A lamp in which 10 amp current can flow at 15 V, is connected with an alternating source of potential 220 V. The frequency of source is 50 Hz. The inductance of choke coil required to light the bulb is

Options

  1. A0.07 H
  2. B0.14 H
  3. C0.28 H
  4. D1.07 H

Correct answer

A. 0.07 H

Step-by-step solution

The resistance of lamp R=VI=1510=1.5ΩR=\frac{V}{I}=\frac{15}{10}=1.5 \Omega The impedance of circuit Z=VI=22010=22ohmZ=\frac{V}{I}=\frac{220}{10}=22 \mathrm{ohm} Again impedance Z=R2+ω2L2Z=\sqrt{R^2+\omega^2 L^2} or 22=(1.5)2+(2×π×50)2L2\quad 22=\sqrt{(1.5)^2+(2 \times \pi \times 50)^2 L^2} or (22)2=(1.5)2+4π2×502×L2\quad(22)^2=(1.5)^2+4 \pi^2 \times 50^2 \times L^2 or L=0.07\quad L=0.07 Henry
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