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JEE Main & Advanced Sample Paper JEE Main Sample Paper-35

  • question_answer
    A particle combination of \[0.1\] MO resistor and a \[10\mu F\] capacitor is connected across a \[1.5\] V source of negligible resistance. The time required for the capacitor to get charged upto \[0.75\] V is approximately (in sec.)

    A)  infinite                                

    B)  \[{{\log }_{e}}2\]

    C)  \[{{\log }_{10}}2\]                          

    D)  zero

    Correct Answer: B

    Solution :

    For the charging of the capacitor we know that             \[q={{q}_{0}}\,(1-{{e}^{{}^{-t}/{}_{Rc}}})\]             \[q/C=({{q}_{0}}/C)\,(1-{{e}^{-t/RC}})\]           \[V={{V}_{0}}\,(1-{{e}^{-t/RC}})\,\] hence \[0.75\,=1.5\,(1-e\,-t/1)\] and hence \[t={{\log }_{e}}2\]


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