$A$ 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 $C$).

Given a current-carrying wire of non-uniform cross-section,which of the following is constant throughout the length of the wire?

$A$ source of $e.m.f.$ $E = 15\,V$ and having negligible internal resistance is connected to a variable resistance so that the current in the circuit increases with time as $i = 1.2t + 3$. Then,the total charge that will flow in the first five seconds will be ............... $C$.

“In lightning in the sky,there is a steady flow of charge”. -True or False?

Current passing through a wire as a function of time is given as $I(t) = 0.02t + 0.01 \ A$. The charge that will flow through the wire from $t = 1 \ s$ to $t = 2 \ s$ is: (in $C$)

$A$ metallic conductor of non-uniform cross-sectional area is subjected to a constant potential difference. Which of the following quantities remains constant along the conductor?