Question

1. Complete Table 1.

Trial	Average Current, i	Charging Time, t	Total Charge, Q=it	Final Voltage, V	Capacitance, C1 = Q/V
1	0.0265	0.1s	0.00265	3.14	0.000844
2	0.035	0.15s	0.00525	3.14	0.00167
3	0.015	0.15s	0.00225	3.14	0.000717
				Average Capacitance	1.077e-3
				Standard Deviation

(2 points x 8 = 16 points)

2. Complete Table 2.

Trial	Average Current, i	Charging Time, t	Total Charge, Q=it	Final Voltage, V	Capacitance, C2 = Q/V
1	0.035	0.1	0.0035	3.14	0.00111
2	0.005	0.15	0.00075	3.14	0.00024
3	0.0025	0.1	0.00025	3.14	0.000079
				Average Capacitance	4.7633e-4
				Standard Deviation

(2 points x 8 = 16 points)

3. Complete Table 3.

Configuration	Average Current, i	Charging Time, t	Total Charge, Q=it	Final Voltage, V	Capacitance, Ceff = Q/V
Parallel	0.055	0.25	0.0138	3.14	0.00439
Series	0.005	0.1	0.0005	3.14	0.000159

1. Using the relation for parallel capacitors, C_eff = C₁ + C₂, calculate the effective capacitance of C₁ and C₂ in parallel with uncertainty based on data in Table 1 and 2. Statistically compare this effective capacitance to that measured in Table 3, comment as necessary. Show all work.

Using the relation for series capacitors, 1/C_eff = 1/C₁ + 1/C₂, calculate the effective capacitance of C₁ and C₂ in series with uncertainty based on data in Table 1 and 2. Statistically compare this effective capacitance to that measured in Table 3, comment as necessary. Show all work.

Answer 1