CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    In a closed circuit, the current I (in ampere) at an instant of time t (in second) is given by\[I=4-0.08t\]. The number of electrons flowing in 50 s through the cross-section of the conductor is

    A)  \[1.25\times {{10}^{19}}\]    

    B)         \[6.25\times {{10}^{20}}\]          

    C)         \[5.25\times {{10}^{19}}\]          

    D)         \[2.55\times {{10}^{20}}\]

    E)  \[4.25\times {{10}^{20}}\]

    Correct Answer: B

    Solution :

    \[I=4-0.08tA\] Or           \[\frac{dq}{dt}=4-0.08tA\] Or           \[q=\int_{0}^{50}{(4-0.08t)dt}C\] Or           \[Ne=\left[ 4t-\frac{0.08{{t}^{2}}}{2} \right]_{0}^{50}=100C\] where N is number of electrons. or         \[N=\frac{100}{e}=\frac{100}{1.6\times {{10}^{-19}}}\]                 \[=6.25\times {{10}^{20}}\]


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