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The current in a conductor varies with time t as I=2t+3t2, 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

a
10 C
b
24 C
c
33 C
d
44 C

detailed solution

Correct option is B

dQ=Idt ⇒  Q=∫t=2t=3  Idt =  2 ∫23tdt  +  3∫23t2dt= t223  +  t323 =  9−4 +  27−8=5+19=24  C

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