Current Electricity Question 3

Question 3 - 2024 (01 Feb Shift 1)

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

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Answer: (22)

Solution:

$q=\int _1^{2} idt=\int _1^{2}\left(3 t^{2}+4 t^{3}\right) dt$

$q=\left.\left(t^{3}+t^{4}\right)\right| _1 ^{2}$

$q=22 C$