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The current in a conductor varies with t...

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

A

10C

B

24 C

C

33 C

D

44 C

Text Solution

Verified by Experts

The correct Answer is:
B
`Q=int_2^3I.dt=int_2^3(2t+3t^2)dt`
`[t^2+t^3]_2^3=36-12=24C`
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