Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    When 2 A current is passed through a tangent galvanometer, it gives a deflection of \[30{}^\circ \]. For \[60{}^\circ \] deflection, the current must be

    A)  1A                                         

    B)  \[2\sqrt{3}\text{A}\]

    C)  4A                                         

    D)  6 A

    Correct Answer: D

    Solution :

    According to the principle of tangent, galvanometer \[I=k\,\tan \theta \]  or \[\frac{{{I}_{1}}}{{{I}_{2}}}=\frac{\tan \,{{\theta }_{1}}}{\tan \,{{\theta }_{2}}}\]                 or            \[{{I}_{2}}=\left( \frac{\tan {{\theta }_{2}}}{\tan {{\theta }_{1}}} \right){{I}_{1}}\] Given      \[{{I}_{1}}=2A,\] \[{{\theta }_{1}}={{30}^{o}},\] \[{{\theta }_{2}}={{60}^{o}}\] \[\therefore \]                  \[{{I}_{2}}=\left( \frac{\tan {{60}^{o}}}{\tan {{30}^{o}}} \right)2=6A\]


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