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Question: The charge flowing in a conductor varies with time as Q = at – bt<sup>2</sup>. Which of the followin...

The charge flowing in a conductor varies with time as Q = at – bt2. Which of the following is correct?

A

The current decreases linearly with time

B

The current reaches a maximum and then decreases

C

The current falls to zero at t = a/2b

D

The current changes at a rate – 4b

Answer

The current falls to zero at t = a/2b

Explanation

Solution

Q = at – bt2 ; I = a – 2bt; 0 = a – 2bt; t = a/2b