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The charge flowing in a conductor varies with time as Q=at-bt². Then for current, which statements are correct.
A) decreases linearly with time
B) reaches a maximum and then decreases
C) fall to zero after time t = a/2b
D) changes at a rate −2b

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only B

A,C,D

B,C

A,B,D

answer is B.

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Detailed Solution

$i = \frac{dQ}{dt} = a - 2 bt For i = 0, t = \frac{a}{2 b}; \frac{di}{dt} = - 2 b$

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