Current passing through a wire as 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 (a) 0.02 C (b) 0.07 C (c) 0.06 C (d) 0.04 C

Answer: (d). Charge q = ∫ I dt = ∫₁² (0.02t + 0.01) dt q = [0.01t² + 0.01t]₁² = (0.04 + 0.02) - (0.01 + 0.01) q = 0.04 C So the answer is (d) 0.04 C.

Current passing through a wire as function of time is given as I(t) =… | JEE Main 2025 (4 Apr, Shift 1)

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Electric Current, Drift Velocity & Current Density

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

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Answer: (d)

Charge $q = \int I\,dt = \int_1^2 (0.02t + 0.01)\,dt$
$q = \left[0.01t^{2} + 0.01t\right]_1^2 = (0.04 + 0.02) - (0.01 + 0.01)$
$q = 0.04\text{ C}$
So the answer is (d) 0.04 C.

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