1.

A current in a wire is given by the equation, . `I=2t^(2)-3t+1`, the charge through cross section of : wire in time interval t=3s to t=5s isA. 32.33CB. 43.34CC. 45.5CD. 42C

Answer» Correct Answer - B
As `i=(dQ)/(dt), dQ=(2t^(2)-3t+1)dt`
`int dQ=underset(t=3)overset(t=5)(int)(2t^(2)-3t+1)dt,Q=[(2t^(3))/(3)-(3t^(2))/(2)+t]_(3)^(5)`
`=[(2)/(3)(125-27)-(3)/(2)(25-9)+2]=43.34C`


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