Question

Find the equivalent capacitance between $A$ and $B$ of the following arrangement:

• A. C
• B. 3C
• C. 2C/3
• D. 3C/2

Answer 1

The Correct Option is B

To find the equivalent capacitance between points \(A\) and \(B\), we need to analyze the configuration of the capacitors and simplify it step by step.

Step 1: Identifying Series and Parallel Combinations

From the diagram, we can see that the three capacitors are connected in parallel between points \(A\) and \(B\).

Step 2: Equivalent Capacitance of Parallel Capacitors

The equivalent capacitance \(C_{\text{eq}}\) of capacitors connected in parallel is simply the sum of the individual capacitances: \[C_{\text{eq}} = C_1 + C_2 + C_3 + ...\]

Step 3: Applying the Formula

In this case, we have three capacitors, each with capacitance \(C\). Therefore, the equivalent capacitance between \(A\) and \(B\) is: \[C_{\text{eq}} = C + C + C = 3C\]

Conclusion

The equivalent capacitance between \(A\) and \(B\) is \(3C\).