Uttarakhand PMT Uttarakhand PMT Solved Paper-2011

  • question_answer
    A galvanometer has a current range of 15 mA and voltage range 750 mV. To convert this galvanometer into an ammeter of range 25 A, the shunt required is

    A)  0.8 \[\Omega \]           

    B)  0.93 \[\Omega \]

    C)  0.03 \[\Omega \]          

    D)  2.0 \[\Omega \]

    Correct Answer: C

    Solution :

     Given, \[V=750\times {{10}^{-3}}V,\text{ }{{I}_{g}}=15\times {{10}^{-3}}A,\] and   \[I=25\text{ }A\] Using the relation, \[G=\frac{V}{{{I}_{g}}}=\frac{750\times {{10}^{-3}}}{15\times {{10}^{-3}}}\] \[=50\,\Omega \] Now, from the formula, \[{{I}_{g}}=\frac{S}{S+G}\times I\] \[15\times {{10}^{-3}}=\frac{S}{S+50}\times 25\] \[\Rightarrow \] \[S=0.03\,\Omega \]


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