Two equal capacitances are connected first in series and then in parallel. The ratio of the effective series capacitance to the effective parallel capacitance is
A
0.25
B
0.50
C
1.00
D
2.20
E
4.00
Verified Correct Answer: A.
Physical Principles & Numerical Solution
Assume the two equal capacitors are 2 micro-farads respectively( you can assume any number)
Effective capacitor in series = \(\frac{1}{C_1} + \frac{1}{C_2}\)
= \(\frac{1}{2} + \frac{1}{2}\) = \(\frac{2}{2}\) = 1 micro-farads
Effective capacitance in parallel = \(C_1 + C_2\) = 2 + 2 = 4 micro-farads
The ratio of the effective series capacitance to the effective parallel capacitance = 1: 4 = \(\frac{1}{4}\) = 0.25
Source: Myschool Past Questions Archive (Record #42917)