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The current flowing through wire depends...

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

A

22 C

B

20 C

C

18 C

D

5 C

Text Solution

Verified by Experts

The correct Answer is:
A
`dq = I dt`
`1 = int I dt = int_0^2 (3 t^2 + 2t + 5) dt`
=`|t^3 + t^2 + 5t|_1^2`
=`[(2)^3 +(2)^2 + 5 xx 2] - [0]`
=`22 C`.
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