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The current in a wire varies with time a...

The current in a wire varies with time according to the equation I=4+2t, where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t=2s to t=6 s is

A

60 coulomb

B

24 coulomb

C

48 coulomb

D

30 coulomb

Text Solution

Verified by Experts

The correct Answer is:
C
Let dq be the charge which ahs passed in a small interval of time dt, then dq=idt=(4+2t)dt. Hence total charge passed between interval t=2 sec and t=6 sec
`q=underset(2)overset(6)int(4+2t)dt=48` coulomb.
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