$$

The next two problems both relate to the following situation.

A capacitor $C$ is initially charged to voltage $V.$ When it is connected to a resistor $R,$ it discharges.

Question $18$

$5$ pts

Given that $C=3F,V=19V,$ and $R=13\mathrm{.}8,$ how much energy is initially stored by the capacitor?

Report your answer in units of ${10}^{-5}$ joules. For example, if your calculation produces a value of $1\mathrm{.}23{10}^{-4}J,$ first transform units as $1\mathrm{.}23{10}^1({10}^{-5}(J))=12\mathrm{.}3{10}^{-5}J,$ then enter your answer as $12\mathrm{.}3.$

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Question $19$

$5$ pts

What resistance $R$ is required so that a capacitor with $C=3\mathrm{.}1mF$ has only $77\mathrm{.}9$ percent of its initial energy left after discharging for $1\mathrm{.}9$ s$?$

Report your answer in units of kilo$-$ohms. For example, if your calculation produces a value $1\mathrm{.}23{10}^4,$ first transform the units as $1\mathrm{.}23{10}^1({10}^3)=12\mathrm{.}3k,$ then enter your answer as $12\mathrm{.}3.$