Calculate the effective capacitance of the circuit in the diagram given
Attached Figure / Diagram
A
4μf
B
3μf
C
2μf
D
1μf
Verified Correct Answer: D.
Physical Principles & Numerical Solution
The three 2µf capacitors from the left are parallel. Therefore, effective capacitance in parallel = 6µf
The 6µf, 2µf(opposite the 3µf), and the 3µf are in series.
So effective/total capacitance in series = \(\frac{1}{C_T}\) = \(\frac{1}{C_1}\) + \(\frac{1}{C_2}\) + \(\frac{1}{C_3}\)
= \(\frac{1}{6}\) + \(\frac{1}{2}\) + \(\frac{1}{3}\) = \(\frac{1 + 3 + 2}{6}\) = \(\frac{6}{6}\)
C\(_T\) = 1µf
Source: Myschool Past Questions Archive (Record #47435)