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SERPSE$1027\mathrm{.}4\mathrm{.}0$P$\mathrm{.}021.$

Consider a series $RC$ circuit as in the figure below for which $R=6\mathrm{.}00M,C=2\mathrm{.}00F,$ and $E=29\mathrm{.}0V.$

$($a$)$ Find the time constant of the circuit.

$$ s

$($b$)$ What is the maximum charge on the capacitor after the switch is thrown closed?

$vvC$

$($c$)$ Find the current in the resistor $10\mathrm{.}0$ s after the switch is closed.

What mathematical function describes the time dependence of the current in an RC circuit? $A$

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