The current in conductor varies with time `t` as `I = 2 t + 3 t^(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

Options

A. 10C
B. 24C
C. 33C
D. 44C

Answer

2

Explanation

`because I=(dQ)/(dt)`
`rArr dQ=Idt`
`Q=intIdt=int_(2)^(3)(2t+3t^(2))dt`
on solving Q=24C