Question

Data Analysis (30 points)

This part is for data analysis. You can insert graphs and a sample of your calculation.

A B and C are the fitting parameters, and the time constant can be calculated from the constant "C" as τ=1/C

Table 2

	Charging				Discharging
R	A	B	C	τ (s)	A	B	C	τ (s)
22 kΩ	0.862	-3.2	2.66	0.376	-3.17	-0.019	0.043	23.256
47 kΩ	4.13	-3.2	1.66	0.503	-3.12	-0.018	0.044	22.989
100 kΩ	2.9	-3.07	0.945	1.058	-3.04	-0.019	0.043	23.041

1. Calculate the theoretical values for the RC circuit time constant. Record your results in the following table. Include a sample of your calculations below for each resistor.

Table 3: Theoretical Time Constant

C=10μF	22 kΩ	47 kΩ	100 kΩ
τ (s)

2. Calculate the experimental values for the RC circuit time constant from the fitting parameter (C). Record your results in table 2. Include a sample of your calculations below for each resistor.

3. Compare between the experimental and theoretical values for the time constant by calculating the percent error (for all resistors). Include a sample of your calculations below for each resistor.

Answer 1

om table given... 91 tacetetice, i experimental values of cha time constant R (K2) Zes) 22 47 0.376 0.503 1.058 100L also the oratical values, ZzRc Cato uf. 1 REKR) 22 47 21S) 0.22 0.47 et do _32_ theoratical 0.22 0.47 O. LO experiment 0.376 0.503 1.058 t error 717_. 7.02% 5.8% L L to 7. enor = experiment - theoretical the oratical