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Q.

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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a

A,B,D

b

A,C,D

c

B,C

d

only B

answer is B.

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Detailed Solution

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i=dQdt=a−2bt  For i=0,t=a2b;didt=−2b

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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 timeB) reaches a maximum and then decreasesC) fall to zero after time t = a/2bD) changes at a rate −2b