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 $t=1 \mathrm{~s}$ to $\mathrm{t}=2 \mathrm{~s}$ is C.
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Answer: (22)
Solution:
$\mathrm{q}=\int_{1}^{2} \mathrm{idt}=\int_{1}^{2}\left(3 \mathrm{t}^{2}+4 \mathrm{t}^{3}\right) \mathrm{dt}$
$q=\left.\left(t^{3}+t^{4}\right)\right|_{1} ^{2}$
$q=22 C$
