The current in a conductor varies with time $t$ as $I = 2t + 3t^{2}$ where $I$ is in $ampere$ and $t$ in $seconds.$ Electric charge flowing through a section of the conductor during $t = 2\ sec$ to $t = 3\ sec$ is

Question

Dr. Abubacker · Accepted Answer

(b) $dQ = Idt \Rightarrow Q = \int_{t = 2}^{t = 3}{Idt = \left\lbrack 2\int_{2}^{3}{tdt + 3\int_{2}^{3}{t^{2}dt}} \right\rbrack}$
$= \left\lbrack t^{2} \right\rbrack_{2}^{3} + \left\lbrack t^{3} \right\rbrack_{2}^{3} = (9 - 4) + (27 - 8) = 5 + 19 = 24C$

Q. The current in a conductor varies with time $t$ as $I = 2t + 3t^{2}$ where $I$ is in $ampere$ and $t$ in $seconds.$ Electric charge flowing through a section of the conductor during $t = 2\ sec$ to $t = 3\ sec$ is

Explanation

Reviewed by Dr. Abubacker

Want more practice?