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The current through a wire depends on ti...

The current through a wire depends on time as
`I = i_(0) + alphat`,
where `i_(0)=10 A and alpha=4 As^(-1)`.Find the charge crossed through a section of the wire in 10 second

Text Solution

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`i=i_(0) + alpha t`, but `i=(dq)/(dt)`
`rArr dq =(i_(0) + alpha t) dt`
`q=int_(t=0)^(t=10) dq rArr q=[i_(0)t + (alpha t)/2]_(0)^(10)`
`rArr (10 i_(0) + 50 alpha) = 300` columb.
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