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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    A resistor is constructed as hollow cylinder of dimensions\[{{r}_{a}}=0.5\,cm\]and\[{{r}_{b}}=1.0\,cm\]and\[\rho =3.5\times {{10}^{-5}}\Omega m\]. The resistance of the configuration for the length of 5 cm cylinder is ... \[\times {{10}^{-3}}\Omega \].

    A)  7.42                      

    B)         10.56   

    C)         14.38                   

    D)         16.48

    E)  18.29

    Correct Answer: A

    Solution :

    Given:   \[l=5\,cm=5\times {{10}^{-2}}m,\] \[\rho =3.5\times {{10}^{-5}}\Omega m\] \[A=\pi (1\times {{10}^{-4}}-0.25\times {{10}^{-4}})\] \[=0.75\pi \times {{10}^{-4}}m\] \[=7.5\pi \times {{10}^{-5}}m\] \[\therefore \]  \[R=\frac{\rho l}{A}=\frac{3.5\times {{10}^{-5}}\times 5\times {{10}^{-2}}}{7.5\pi \times {{10}^{-5}}}\]                 \[=7.42\times {{10}^{-3}}\Omega \]


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