JEE Main 2024 — Current Electricity Question with Solution

To find the amount of electric charge that flows through a section of the conductor, we have to integrate the current over the given time interval. The current $I(t)$ as a function of time $t$ is given by:

The electric charge $Q$ that flows through the conductor from time $t=1$ s to $t=2$ s is calculated by integrating the current $I(t)$ with respect to time over this interval:

Substituting the given limits ($t_1=1$ and $t_2=2$) and the expression for $I(t)$, we get:

Now we'll integrate the function with respect to $t$:

Simplifying the integrated function:

Substitute the upper and lower limits of the integration:

Therefore, the amount of electric charge that flows through the section of the conductor from $t=1$ s to $t=2$ s is 22 Coulombs.