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JEE Main 2024 (1 Feb, Shift 1) · Electric Current, Drift Velocity & Current Density

Electric Current, Drift Velocity & Current Density question from JEE Main 2024 (1 Feb, Shift 1)

Q6JEE Main 2024 · 1 FEB · SHIFT 1Easy

Electric Current, Drift Velocity & Current Density

The current in a conductor is expressed as $I = 3t^{2} + 4t^{3}$ , where $I$ is in Ampere and $t$ is in second. The amount of electric charge that flows through a section of the conductor during $t = 1\text{ s}$ to $t = 2\text{ s}$ is __________ C.

Numerical answer type. Work it out, then open the answer.

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Answer: 22

$q = \int_1^2 (3t^{2} + 4t^{3})\,dt = \left[t^{3} + t^{4}\right]_1^2$
$q = (8 + 16) - (1 + 1)$
$q = 22\text{ C}$

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