Given Values:

$R1=97\mathrm{.}6K$

$R2=97\mathrm{.}4K$

$V_s=3\mathrm{.}23V$

A$)$ Using the actual values of the resistors and the capacitor $(100F),$ find the expression for the capacitor voltage vC theoretically.

B$)$ Using the actual values of the resistors and the capacitor $(100F),$ find the expression for the current iR$1$ flowing through the resistor R$1$ theoretically. Use $[A$ for the units of current.

C$)$ Using the current expression determined in step $19$ and using theory, calculate the energy dissipated in the resistor R $1$ during the first $6$ s by integration. Call the result $($u$1)$t$.$ The units should be in $[].$