The current through a wire depends on time as | vedclass

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(B) The current is given by $i = (2 + 3t) 	imes 10^{-3} \, A$.To find the total charge $q$ crossing a section in time $t = 0$ to $t = 60 \, s$,we use

Vedclass · Accepted Answer

$5.52$

Vedclass · Answer

(B) The current is given by $i = (2 + 3t) 	imes 10^{-3} \, A$.To find the total charge $q$ crossing a section in time $t = 0$ to $t = 60 \, s$,we use the relation $q = \int i \, dt$.$q = \int_{0}^{60} (2 + 3t) 	imes 10^{-3} \, dt$.$q = 10^{-3} \left[ 2t + \frac{3t^2}{2} ight]_{0}^{60}$.$q = 10^{-3} \left[ 2(60) + \frac{3(60)^2}{2} ight]$.$q = 10^{-3} [120 + 5400]$.$q = 10^{-3} 	imes 5520 = 5.52 \, C$.

The current through a wire depends on time as $i = (2+3t)\, mA$. The charge crossing through a section of the wire in $1\, min$ is .............. $C$.

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