In the network shown above, determine the potential difference across the 5µF capacitor
A
3V
B
6V
C
12V
D
18V
Verified Correct Answer: D.
Physical Principles & Numerical Solution
For capacitors in series
C\(_{\text{eq}} = \frac{C_1 C_2}{C_1 + C_2}\)
C\(_{\text{eq}} = \frac{5 \times 15}{5 + 15} = \frac{75}{20}\) = 3.75μF
Charge on the series branch
Q = Ceq \times V =3.75 \times 24 = 90 μC.
Potential difference across the 5 µF capacitor
V\(_{5} = \frac{Q}{C} = \frac{90}{5}\) = 18 V
Source: Official Exam / Past Question Archive