Part C: Motor Turn$-$on$/$off Timing

$1)$ Build the circuit in Figure $3$ with $\backslash (\backslash$mathrm$\{$V$\}\_\{$D D$\}\backslash )$ set to $8$ V $.$ Use the $\backslash (10\backslash$mu $\backslash$mathrm$\{$~F$\}\backslash )$ capacitor and make sure there is no voltage on the transistor's gate by momentarily shorting the capacitor's leads. You can use a jumper wire to do this $($i$.$e$.,$ temporarily short the Gate to ground with jumper$).$

Figure $3$: Circuit used to test Motor turn on$/$off timing

$2)$ Calculate the capacitor's initial voltage, final voltage and its time constant while charging $($switch closed$).$ You may need to employ Thevenin's theorem. Make sure to account for the DMM$\text{'}$s input resistance.

$3)$ Calculate the capacitor's initial voltage, final voltage and its time constant while discharging $($switch opened$).$ You may need to employ Thevenin's theorem. Again, don't forget to account for the DMM$\text{'}$s input resistance.

$4)$ If the capacitor starts with OV across its terminals, roughly how long will it take for the motor $($or LEDs$)$ to turn on after the switch is closed?

$5)$ After the capacitor has reached its maximum voltage, roughly how long will it take for the capacitor to discharge enough to turn the motor $($or LEDs$)$ off?

$6)$ Test your predictions by assembling the circuit and timing how long it takes for the motor $($or LEDs$)$ to turn on after the switch is closed. Be sure to start with the cap fully discharged.

$7)$ After the capacitor is fully charged, open the switch and check the time it takes for the motor $($or LEDs$)$ to turn off.

$8)$ Now change the capacitor to $47$uF and retest the motor $($or LEDs$)$ turn$-$on and turn$-$off times. Are the times close to your predictions?

$9)$ What would happen if the MOSFET was replaced with a BJT$?$