The current flowing through a wire depends on time as $I = 3t^2 + 2t + 5$. The charge flowing through the cross-section of the wire in the time interval from $t = 0$ to $t = 2 \ s$ is: (in $C$)

The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval $0 \leq t \leq 20 \ s$ is

$A$ current of $20\,\mu A$ flows for $30$ seconds in a wire. The total charge transferred will be:

The charge flowing in a conductor varies with time as $Q = at - bt^2$. Then for current,which statement is incorrect?
$(A)$ decreases linearly with time
$(B)$ reaches a maximum and then decreases
$(C)$ falls to zero after time $t = a/2b$
$(D)$ changes at a rate $-2b$

The electric current in a wire varies with time as $i = (2 + 3t) \text{ A}$. Calculate the charge that passes through the cross-section of the wire in $10 \text{ s}$.

Which of the following statements is true about the flow of electrons in an electric circuit?