Method 4
capacitor
Figure 2 shows that, capacitor was connected to the Multi-meter which is used to measure the capacitance of the capacitor.
It is shown that the capacitance of the capacitor is equal to 1.027μF, but compared to Part A, where the capacitance of the capacitor is lower than the real value, we cannot be sure that capacitance of the capacitor is equal to 1.027μF. However, value which we got by using Method 4 should be closer to the theory capacitance.
Method 5
Figure 3
C
Figure 3 shows how the circuit is assembled in Method 5
Table 2
t(s) |
Voltage（V） |
Capacitance(F) |
|
t(s) |
Voltage（V） |
Capacitance(F) |
0.5 |
1.686 |
7.02158E-07 |
|
30.5 |
0.097 |
1.68704E-05 |
1 |
1.229 |
1.22311E-06 |
|
31 |
0.095 |
1.70703E-05 |
1.5 |
0.79 |
1.51524E-06 |
|
31.5 |
0.093 |
1.72667E-05 |
2 |
0.595 |
1.81737E-06 |
|
32 |
0.092 |
1.75003E-05 |
2.5 |
0.536 |
2.19064E-06 |
|
32.5 |
0.091 |
1.77325E-05 |
3 |
0.49 |
2.55055E-06 |
|
33 |
0.089 |
1.79205E-05 |
3.5 |
0.425 |
2.84156E-06 |
|
33.5 |
0.088 |
1.81486E-05 |
4 |
0.38 |
3.13635E-06 |
|
34 |
0.087 |
1.83751E-05 |
4.5 |
0.367 |
3.49124E-06 |
|
34.5 |
0.085 |
1.85544E-05 |
5 |
0.356 |
3.84376E-06 |
|
35 |
0.084 |
1.87767E-05 |
5.5 |
0.328 |
4.12678E-06 |
|
35.5 |
0.083 |
1.89973E-05 |
6 |
0.317 |
4.45745E-06 |
|
36 |
0.082 |
1.92163E-05 |
6.5 |
0.298 |
4.74395E-06 |
|
36.5 |
0.081 |
1.94335E-05 |
7 |
0.281 |
5.02486E-06 |
|
37 |
0.08 |
1.96491E-05 |
7.5 |
0.268 |
5.31332E-06 |
|
37.5 |
0.078 |
1.98107E-05 |
8 |
0.255 |
5.59073E-06 |
|
38 |
0.078 |
2.00748E-05 |
8.5 |
0.25 |
5.90826E-06 |
|
38.5 |
0.077 |
2.02851E-05 |
9 |
0.235 |
6.15261E-06 |
|
39 |
0.076 |
2.04935E-05 |
9.5 |
0.235 |
6.49442E-06 |
|
39.5 |
0.075 |
2.07E-05 |
10 |
0.226 |
6.76579E-06 |
|
40 |
0.074 |
2.09047E-05 |
10.5 |
0.218 |
7.03716E-06 |
|
40.5 |
0.073 |
2.11075E-05 |
11 |
0.214 |
7.33675E-06 |
|
41 |
0.072 |
2.13083E-05 |
11.5 |
0.207 |
7.60445E-06 |
|
41.5 |
0.071 |
2.15072E-05 |
12 |
0.2 |
7.8653E-06 |
|
42 |
0.07 |
2.17041E-05 |
12.5 |
0.194 |
8.12972E-06 |
|
42.5 |
0.07 |
2.19625E-05 |
13 |
0.191 |
8.42162E-06 |
|
43 |
0.068 |
2.20918E-05 |
13.5 |
0.182 |
8.64017E-06 |
|
43.5 |
0.068 |
2.23487E-05 |
14 |
0.18 |
8.93553E-06 |
|
44 |
0.067 |
2.25386E-05 |
14.5 |
0.177 |
9.2161E-06 |
|
44.5 |
0.066 |
2.27265E-05 |
15 |
0.175 |
9.50711E-06 |
|
45 |
0.065 |
2.29122E-05 |
15.5 |
0.17 |
9.75412E-06 |
|
45.5 |
0.064 |
2.30956E-05 |
16 |
0.165 |
9.99554E-06 |
|
46 |
0.064 |
2.33494E-05 |
16.5 |
0.161 |
1.02466E-05 |
|
46.5 |
0.062 |
2.34558E-05 |
17 |
0.158 |
1.05093E-05 |
|
47 |
0.062 |
2.3708E-05 |
17.5 |
0.154 |
1.07519E-05 |
|
47.5 |
0.061 |
2.38838E-05 |
18 |
0.15 |
1.09898E-05 |
|
48 |
0.06 |
2.40573E-05 |
18.5 |
0.149 |
1.12771E-05 |
|
48.5 |
0.06 |
2.43079E-05 |
19 |
0.145 |
1.15074E-05 |
|
49 |
0.06 |
2.45585E-05 |
19.5 |
0.141 |
1.17327E-05 |
|
49.5 |
0.059 |
2.47278E-05 |
20 |
0.14 |
1.20135E-05 |
|
50 |
0.058 |
2.48947E-05 |
20.5 |
0.136 |
1.22308E-05 |
|
50.5 |
0.058 |
2.51436E-05 |
21 |
0.133 |
1.24644E-05 |
|
51 |
0.057 |
2.53071E-05 |
21.5 |
0.132 |
1.27389E-05 |
|
51.5 |
0.056 |
2.5468E-05 |
22 |
0.129 |
1.29663E-05 |
|
52 |
0.056 |
2.57153E-05 |
22.5 |
0.126 |
1.31897E-05 |
|
52.5 |
0.055 |
2.58726E-05 |
23 |
0.125 |
1.34582E-05 |
|
53 |
0.054 |
2.60272E-05 |
23.5 |
0.122 |
1.3675E-05 |
|
53.5 |
0.054 |
2.62728E-05 |
24 |
0.119 |
1.38875E-05 |
|
54 |
0.053 |
2.64237E-05 |
24.5 |
0.117 |
1.41228E-05 |
|
54.5 |
0.053 |
2.66684E-05 |
25 |
0.115 |
1.43554E-05 |
|
55 |
0.052 |
2.68156E-05 |
25.5 |
0.113 |
1.45852E-05 |
|
55.5 |
0.052 |
2.70593E-05 |
26 |
0.112 |
1.48417E-05 |
|
56 |
0.051 |
2.72027E-05 |
26.5 |
0.109 |
1.50363E-05 |
|
56.5 |
0.05 |
2.7343E-05 |
27 |
0.108 |
1.52888E-05 |
|
57 |
0.05 |
2.7585E-05 |
27.5 |
0.105 |
1.54756E-05 |
|
57.5 |
0.049 |
2.77212E-05 |
28 |
0.104 |
1.5724E-05 |
|
58 |
0.049 |
2.79623E-05 |
28.5 |
0.102 |
1.5937E-05 |
|
58.5 |
0.048 |
2.80944E-05 |
29 |
0.101 |
1.61818E-05 |
|
59 |
0.048 |
2.83345E-05 |
29.5 |
0.1 |
1.64252E-05 |
|
59.5 |
0.048 |
2.85747E-05 |
30 |
0.098 |
1.66307E-05 |
|
60 |
0.048 |
2.88148E-05 |
Graph 2
The graph above clearly shows how capacitance depends on voltage and time.
By formula which we used in Part A, Method 5:
The values of the capacitor’s capacitance which we made by ourselves is shown in Table 2. As it was described in the summary of Part A, the first value of the capacitance cannot be marked, because it have no , so the second value is approximately close to the “real” value of the capacitor’s capacitance. Keep in mind that we only have theory capacitance and all results will be based on it.
Second
value of the capacitor’s capacitance is
and the theory value is equal to
.
The value of the “practice” and “theory” capacitance of the
capacitor are very close to each other. An explanation for this
depends on the errors that was made when the capacitor or resistance
of resistor was enough to slow down the discharge of capacitor and as
a result, charge didn’t went through the multi-meter, which have
HUGE resistance.