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JIPMER 2016
Exam
JIPMER
Year
2016
Subject
Physics
Chapter
Current Electricity

JIPMER 2016 · Physics · Current Electricity

A galvanometer of resistance 25 shows a deflection of 5 divisions...

A galvanometer of resistance 25Ω25 \Omega shows a deflection of 5 divisions when a current of 2 mA is passed through it. If a shunt of 4Ω4 \Omega is connected and there are 20 divisions on the scale, then the range of the galvanometer is

Options

  1. A1 A
  2. B58 A
  3. C58 mA
  4. D30 mA

Correct answer

C. 58 mA

Step-by-step solution

There are 20 divisions on scale. Initially, current for 20 divisions =2×205=8 mA=\frac{2 \times 20}{5}=8 \mathrm{~mA} ∴Ig=8 mA∵IgI=SS+G\begin{array}{ll}\therefore & I g=8 \mathrm{~mA} \\ \because & \frac{I g}{I}=\frac{S}{S+G}\end{array} ⇒I=(S+GS)Ig⇒I=(4+254)×8=29×2=58 mA\begin{aligned} \Rightarrow \quad I & =\left(\frac{S+G}{S}\right) I_g \Rightarrow I=\left(\frac{4+25}{4}\right) \times 8 \\ & =29 \times 2=58 \mathrm{~mA}\end{aligned}
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