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  3. WB JEE Medical

WB JEE Medical WB JEE Medical Solved Paper-2009

  • question_answer
    The current flowing through a wire depends on time as\[I=3{{t}^{2}}+2t+5.\] The charge flowing through the cross-section of the wire in time from \[t=0\] to \[t=2\,s\] is

    A)  22 C                                      

    B)  20 C

    C)  18 C                                      

    D)  5 C

    Correct Answer: A

    Solution :

                     Charge \[Q=\int_{0}^{2}{(3{{t}^{2}}+2t+5)}dt\] \[=[{{t}^{3}}+{{t}^{2}}+5t]_{0}^{2}=8+4+10=22C\]


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