CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    A short solenoid of length 4 cm, radius 2 cm and 100 turns is placed inside and on the axis of a long solenoid of length 80 cm and 1500 turns. A current of 3 A flows through the short solenoid. The mutual inductance of two solenoids is:

    A)  \[2.96\times {{10}^{-4}}H\]  

    B)         \[5.3\times {{10}^{-5}}H\]

    C)  \[3.52\times {{10}^{-3}}H\]  

    D)         \[8.3\times {{10}^{-5}}H\]

    E)  \[2.96\times {{10}^{-3}}H\]

    Correct Answer: A

    Solution :

    \[{{M}_{21}}=\frac{{{\mu }_{0}}{{N}_{1}}{{N}_{2}}{{A}_{2}}}{{{l}_{1}}}\] \[\therefore \]\[{{M}_{21}}=\frac{\begin{align}   & (4\times 3.14\times {{10}^{-7}})\times 1500\times 100 \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\times \{3.14{{(2\times {{10}^{-2}})}^{2}}\} \\ \end{align}}{80\times {{10}^{-2}}}\] \[{{M}_{21}}=2.96\times {{10}^{-4}}H\] \[\Rightarrow \]               \[{{M}_{21}}={{M}_{21}}=2.96\times {{10}^{-4}}H\]


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