The nominal values of $R,C,$ and $V_s$ are given at the top of the spreadsheet you are asked to use.

For the RC Circuit shown in Figure $1,$ the capacitor is initially completely charged at time $t=0,$ and

students took measurements of the voltage across the capacitor during its discharge phase, after the

switch is thrown in position $b,$ for a range of time values given in seconds.

From your answe File Preview inary calculation question $2b,$ you know that the discharge function is

exponential. Use your m$-$file myexpfit to generate a plot showing experimental data $($not connected by a

line$)$ and the smooth exponential least$-$squares fit to the data, hat$(v),$ and determine the estimated parameters

of the exponential decay.

From these parameters, determine the capacitance value given the nominal value of the resistance.

Table $3$

MATLAP PLEASE

PREVIOUS CALCULATION DATA Time$=$

$[0\mathrm{.}000\mathrm{.}100\mathrm{.}210\mathrm{.}310\mathrm{.}420\mathrm{.}520\mathrm{.}630\mathrm{.}730\mathrm{.}830\mathrm{.}941\mathrm{.}041\mathrm{.}151\mathrm{.}251\mathrm{.}351\mathrm{.}461\mathrm{.}561\mathrm{.}671\mathrm{.}771\mathrm{.}881\mathrm{.}982\mathrm{.}082\mathrm{.}192\mathrm{.}292\mathrm{.}402\mathrm{.}502\mathrm{.}602\mathrm{.}712\mathrm{.}812\mathrm{.}923\mathrm{.}023\mathrm{.}13]$

Volts$=$

$[18\mathrm{.}0014\mathrm{.}0213\mathrm{.}2811\mathrm{.}0310\mathrm{.}077\mathrm{.}746\mathrm{.}165\mathrm{.}725\mathrm{.}174\mathrm{.}263\mathrm{.}502\mathrm{.}732\mathrm{.}441\mathrm{.}921\mathrm{.}641\mathrm{.}541\mathrm{.}251\mathrm{.}060\mathrm{.}850\mathrm{.}800\mathrm{.}590\mathrm{.}520\mathrm{.}430\mathrm{.}370\mathrm{.}310\mathrm{.}260\mathrm{.}240\mathrm{.}190\mathrm{.}160\mathrm{.}150\mathrm{.}12]$

R$=2500$ohm

C$=2\mathrm{.}5$E$-04$