$A$ current through a wire depends on time as $i = \alpha_{0} t + \beta t^{2}$ where $\alpha_{0} = 20 \, A/s$ and $\beta = 8 \, As^{-2}$. Find the charge crossed through a section of the wire in $15 \, s$ (in $C$).

$A$ steady current flows in a metallic conductor of non-uniform cross-section. The quantity/quantities constant along the length of the conductor is/are:

The following figure shows four situations in which positive and negative charges move horizontally through a region and gives the rate at which each charge moves. Rank the situations according to the effective current through the region,greatest first.

$A$ current $I = I_{0} e^{-\lambda t}$ is flowing in a circuit. The total charge that flows through the circuit over the entire pulse period (from $t = 0$ to $t = \infty$) is:

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 $C$)

Estimate the magnitude of current that passes through a wire, if $0.1 \text{ mol}$ of electrons flow through it in $40 \text{ min}$. (Assume Avogadro number $= 6 \times 10^{23}$) (in $\text{ A}$)