Question

DRAW A GRAPH FOR THIS TABLE

Table 1: Measurements with the capacitor discharging | Time from start (s) 8 8 8 8 8 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1 Voltage across the resistor Calculated in (Voltage) (V) Vo= 10.000 00 8.330 83.30 7.170 143.40 6.16 246.40 5.30 2120 4.540 227 3.920 235.20 3.360 235.20 2.92 233.60 2.510 225.90 2.160 2160 1.890 207.90 1.640 198.80 1.430 185.90 1.250 1750 8 8 8 8 8 8 18

Answer 1

The voltage discharge eqation is $V = V_{0} e^{-t/\tau }$

Where = the time constant of the circuit = RC

7

so if we plot voltage vs time it will be exponential curve.

& Cut e Copy Calibri (Body 10 ✓ Α Α΄ ab Wrap Text General Normal Bad DA <I<> Paste BIU- Α και Insert Delete Merge & Center - M . Neutral Format Painter Conditional Format as Good Formatting Table Styles Clipboard Font Alignment Number Cells Chart 1 *** C D E F G H J K M N O P Q R S Voltage vs Time Voltage Y B Voltage 10 10 8.33 20 7.17 30 6.16 40 5.3 50 4.54 60 3.92 70 3.36 80 2.92 90 2.51 100 2.16 110 1.89 120 1.64 130 1.43 140 1.25 10 8 А 1 Time 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 y = 10e-0.015 6 o 4 2 0 0 20 40 60 80 100 120 140 160 Time O Sheet1 Ready

So from the above graph we find the time constant =    $\frac{1}{0.015}$

= 66.67