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The current in a conductor \mathrm{I=2t+3t^{2}} where \mathrm{I} is in amphere and \mathrm{t} in seconds.Electric charge flowing through a section of the conducting during \mathrm{t=2\: sec \: to\: t=3\: sec} is

Option: 1

\mathrm{14\: c}


Option: 2

\mathrm{24\: c}


Option: 3

\mathrm{33\: c}


Option: 4

\mathrm{44\: c}


Answers (1)

\mathrm{ I=2 t+3 t^2 }

\mathrm{ I=\frac{d q}{d t} \Rightarrow d q=I d t=\left(2 t+3 t^2\right) d t }

\mathrm{ q=\int d q=\int_2^3\left(2 t+3 t^2\right) d t }

\mathrm{ =\left[t^2+t^3\right]_2^3=(9+27)-(4+s) }

                         \mathrm{ =36-12 }

                         \mathrm{ =24 c }

Hence option 2 is correct.


                  

 

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Kshitij

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