The question refers to four circuit figures labeled A, B, C, and D, but the actual capacitor connection diagrams are not present in the prompt. Without those figures, it is impossible to evaluate which specific combination gives the required equivalent capacitance.

However, we can still determine what kind of network is needed.

1. Given data

Each capacitor has capacitance $C = 2\,\mu F$

Required equivalent capacitance: $C_{eq} = \frac{6}{13}\,\mu F$

2. Normalize the problem

Let us express the equivalent capacitance in units of a single capacitor: $\frac{C_{eq}}{C} = \frac{\frac{6}{13}}{2} = \frac{3}{13}$

So the required network of seven identical capacitors must have an equivalent equal to $\frac{3}{13}C$

That means the arrangement must reduce the capacitance to a fraction smaller than one capacitor, so it must involve series combinations, possibly mixed with parallel branches.

3. Why the options are necessary

For MCQ evaluation, I must compute the equivalent capacitance of each shown circuit:

• Option A
• Option B
• Option C
• Option D

But the figures themselves are missing, so there is no way to calculate and compare them.

4. Comparison with stored answer

The stored correct answer is A, but since the circuit diagrams are not provided, I cannot independently verify that option A indeed gives $\frac{6}{13}\,\mu F.$

So I cannot honestly confirm agreement from the given information alone.

5. What is needed

Please provide the capacitor configuration figures for options A, B, C, and D. Then I can compute each equivalent capacitance step-by-step and verify which one equals $\frac{6}{13}\,\mu F.$