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The current through a wire depends on ti...

The current through a wire depends on time as `i=(2+3t)A`. Calculate the charge crossed through a cross section of the wire in 10sec.

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i=`(dq)/(dt)` `rArr`  `dq=(2+3t)dt`
`underset(0)overset(q)intdq`=`underset(0)overset(q)int(2+3t)dt` `rArr` q=`(2t+(3t^(2))/(2))_(0)^(10)`
=`2xx10+(3)/(2)xx100`=20+150=170C
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