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 \(3C\).
