A $200-$volt electromotive force is applied to an RC$-$series circuit in which the resistance is $1000$ ohms and the capacitance is

$5106$ farad.

Find the charge

q$($t$)$

on the capacitor if

i$(0)=0\mathrm{.}2.$

q$($t$)=$

$0\mathrm{.}001(1$e$200$t$)$

Determine the charge at

t $=0\mathrm{.}004$ s$.$

$($Round your answer to five decimal places.$)$

coulombs

Determine the current at

t $=0\mathrm{.}004$ s$.$

$($Round your answer to five decimal places.$)$

amps

Determine the charge as

t$$$.$