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In the following figure, $C_1$ and $C_2$ are ideal capacitors. $C_1$ has been charged to $12\:V$ before the ideal switch $S$ is closed at $t=0$. The current $i(t)$ for all $t$ is

  1. zero
  2. a step function
  3. an exponentially decaying function
  4. an impulse function
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