The current in a conductor varies with time t as `I=2t+3t^2`, where I is in ampere and t in second. Electric charge flowing through a section of the conductor during t=3 s and t=3 s is

Options

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

Answer

B

Explanation

`Q=int_2^3I.dt=int_2^3(2t+3t^2)dt`
`[t^2+t^3]_2^3=36-12=24C`