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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    A battery of emf 12 V and internal resistance \[2\,\Omega \]is connected in series with a tangent galvanometer of resistance\[4\,\Omega \]. The deflection is\[60{}^\circ \]when the plane of the coil is along the magnetic meridian. To get a deflection of\[30{}^\circ ,\]the resistance to be connected in series with the tangent galvanometer is:

    A)  120                                       

    B)  200                       

    C)  100                       

    D)         50

    E)  30

    Correct Answer: A

    Solution :

    \[I=k\tan \theta ,\]k being reduction factor and \[I\propto \frac{1}{R}\] \[\Rightarrow \]               \[\frac{R+r}{(R+r)+R}=\frac{tan\theta }{\tan \theta }\] \[\Rightarrow \]               \[\frac{4+2}{6+R}=\frac{\tan 30{}^\circ }{\tan 60{}^\circ }\] \[\Rightarrow \]               \[R=12\,\Omega \]


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