Answer
$i = 60.0~\mu A$
Work Step by Step
We can find the current at $t = 0.500~s$:
$Q = C~V$
$i = \frac{dQ}{dt} = C~\frac{dV}{dt}$
$i = C~(4.00-4.00~t)$
$i = (30~\mu F)~[4.00-4.00~(0.500)]$
$i = (30~\mu F)~(2.00~V/s)$
$i = 60.0~\mu A$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.