The current flowing through wire depends on time as, `1 = 3t^(2) + 2t + 5`
The charge flowing through the cross - section of the wire in time `t = 0` to `t = 2` second is

Options

A. 22 C
B. 20 C
C. 18 C
D. 5 C

Answer

A

Explanation

`I = 3t^(2) + 2t + 5`
`q = int Idt = int_(0)^(2) (3t^(2) +2t + 5)dt = [t^(3) + t^(2) + 5t]_(3)^(2) = 22 C`