Question

The equivalent capacitance of a combination of connected capacitors shown in the figure between the points P and N is:

• A. 3C
• B. \(\frac{2C}{3}\)
• C. \(\frac{4C}{5}\)
• D. \(\frac{3}{2}C\)

Hint:

For complex capacitor networks, first reduce series and parallel combinations step by step to find the overall equivalent capacitance.

Answer 1

The Correct Option is B

Step 1: The given diagram involves capacitors in series and parallel. For capacitors in series, the equivalent capacitance \( C_{\text{eq}} \) is given by:

\[ \frac{1}{C_{\text{eq}}} = \frac{1}{C_1} + \frac{1}{C_2} + \cdots \]

For capacitors in parallel, the equivalent capacitance is the sum of the individual capacitances:

\[ C_{\text{eq}} = C_1 + C_2 + \cdots \]

Step 2: By applying these formulas to the combination of capacitors in the given circuit, the equivalent capacitance between points \( P \) and \( N \) is:

\[ \frac{2C}{3}. \]