Question: If a capacitor of capacitance C is discharged through a resistor of resistance R the voltage on the capacitor follows the formula V(t) = V(0)e

If a capacitor of capacitance C is discharged through a resistor of resistance R the voltage on the capacitor follows the formula

V(t) = V(0)e−t/RC.

The following are data on the voltage as a function of time for the discharge of a capacitor through a resistance of 102 kΩ.

t (s)                                 V (s)
0.00.................................1.00
0.020.............................0.819
0.040.............................0.670
0.060.............................0.549
0.080.............................0.449
0.100.............................0.368
0.120.............................0.301
0.140.............................0.247
0.160.............................0.202
0.180.............................0.165
0.200.............................0.135

Find the capacitance and its expected error.

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