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JIPMER 2009
Exam
JIPMER
Year
2009
Subject
Physics
Chapter
Current Electricity

JIPMER 2009 · Physics · Current Electricity

The resistance of an ammeter is 13 and its scale is graduated for a...

The resistance of an ammeter is 13Ω13 \Omega and its scale is graduated for a current upto 100 A . After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 A by this meter. The value of shunt resistance isThe resistance of an ammeter is 13 and its scale is graduated for a current upto 100 A . After an additional shunt has

Options

  1. A20Ω20 \Omega
  2. B2Ω2 \Omega
  3. C0.2Ω0.2 \Omega
  4. D2kΩ2 \mathrm{k} \Omega

Correct answer

B. 2Ω2 \Omega

Step-by-step solution

Let iai_a is the current flowing through ammeter and ii is the total current. So, a current i−iai-i_a will flow through shunt resistance. The resistance of an ammeter is 13 and its scale is graduated for a current upto 100 A . After an additional shunt has Potential difference across ammeter and shunt resistance is same. ie, ia×R=(i−ia)×S\quad i_a \times R=\left(i-i_a\right) \times S or S=iaRi−ia…(i)S=\frac{i_a R}{i-i_a}\ldots(i) Given, ia=100 A,i=750 A,R=13Ω\quad i_a=100 \mathrm{~A}, i=750 \mathrm{~A}, R=13 \Omega Hence, S=100×13750−100=2Ω\quad S=\frac{100 \times 13}{750-100}=2 \Omega
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