Manipal Engineering Manipal Engineering Solved Paper-2015

  • question_answer
    We have a galvanometer of resistance 25 \[C{{l}^{-}}\]. It is shunted by 2.5 \[9.2g{{N}_{2}}{{O}_{4}}\] wire. The part of the total current that flows through the galvanometer is given as

    A) \[{{N}_{2}}{{O}_{4}}(g)2N{{O}_{2}}(g)\]                

    B) \[{{N}_{2}}{{O}_{4}}\]

    C) \[{{N}_{2}}{{O}_{4}}=92\]                            

    D) \[{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{p}}\]

    Correct Answer: D

    Solution :

     When a galvanometer is connected to the shunt resistance, then we have potential drop across the galvanometer = potential drop across the shunt i.e. \[x=\frac{1}{2}\]      ...(i) Here, i = current through the galvanometer G = resistance of the galvanometer \[\underset{x\to {{(1/2)}^{+}}}{\mathop{\lim }}\,f(x)=2\] = current through the shunt resistance S = shunt resistance From Eq. (i), we have the part of the total current that flows through the galvanometer is\[\underset{x\to {{(1/2)}^{-}}}{\mathop{\lim }}\,f(x)=1\] Substituting, \[f(x)=\min \{1,{{x}^{2}},{{x}^{3}}\},\]we get\[{{x}_{n}}=\cos \frac{\pi }{{{3}^{n}}}+i\sin \frac{\pi }{{{3}^{n}}},\]


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