Question

If charge flowing through a conductor is given by $q=1.5t^2+t$. Then the current (in amperes) caused in $t=2s$ will be

Answer 1

Calculation of current
We know, current $i=\frac{dq}{dt}$
($q\to$ charge flowing, $t\to$ time )
Now, current in the wire,
$i=\frac{d}{dt}(1.5t^2+t)$
$i=3t+1$

Current caused in $2$ sec:
Now, the current caused in $2$ sec is,
$i=3\times 2+1A$
$i=7A$
Hence, current caused in $2$ sec is $7A$.