This is the situation I have been given:

You are given three capacitors, one with a capacitance of 0.025 micro-farads, another with a capacitance of 0.05 micro farads, and the third with a capacitance of 0.015 micro-farads. Using only these capacitors, arranged in series, parallel, or any combination, create a capacitive circuit that achieves a target capacitance of 80 micro-farads.

...I can not find a way to arrange them that comes close to this goal. Can someone help me please?

I cannot find a way, either. The most capacitance you can achieve is by arranging all three capacitors in parallel, which results in only 0.09 uF capacitance.

To create a capacitive circuit with a target capacitance of 80 micro-farads using the given capacitors, you need to find a combination of series and parallel arrangements that can achieve this value.

First, let's understand the formulas for capacitors arranged in series and parallel:

1. Series connection: The total capacitance (C_series) of capacitors arranged in series is given by the reciprocal of the sum of the reciprocals of their individual capacitances:
1/C_series = 1/C1 + 1/C2 + 1/C3 + ...

2. Parallel connection: The total capacitance (C_parallel) of capacitors arranged in parallel is the sum of their individual capacitances:
C_parallel = C1 + C2 + C3 + ...

Now, let's try different combinations to achieve the target capacitance of 80 micro-farads:

1. Start with the given capacitors C1 = 0.025 μF, C2 = 0.05 μF, and C3 = 0.015 μF.

2. Try the series combination:
Calculate 1/C_series = 1/C1 + 1/C2 + 1/C3
= 1/0.025 + 1/0.05 + 1/0.015
Taking the reciprocal of the result gives the total capacitance in series, C_series.

3. Try the parallel combination:
Calculate C_parallel = C1 + C2 + C3
= 0.025 + 0.05 + 0.015
Compare the value of C_parallel with the target capacitance (80 μF). If it matches, you have found a solution. Otherwise, try other combinations.

Unfortunately, in this specific case, it is not possible to achieve a capacitance of 80 micro-farads using only the given capacitors. The sum of their individual capacitances (C_parallel) is less than the target value, and the reciprocal sum of their individual reciprocals (1/C_series) is greater than the target value.

To reach a capacitance of 80 micro-farads, you would need additional capacitors with larger capacitances or a combination of capacitors with different values.