Callumnc1 said:
I think so. For such a small case a closed formula doesn't make sense to me and for very many passive circuit elements like resistors, capacitors or coils I am quite sure to not have a closed mathematical formula at all - plus, there is no usage for such a general case.Callumnc1 said:
When capacitors are connected in series, the reciprocal of the total (equivalent) capacitance (C_eq) is the sum of the reciprocals of the individual capacitances. The formula is given by: 1/C_eq = 1/C1 + 1/C2 + 1/C3 + ... + 1/Cn.
For capacitors connected in parallel, the total (equivalent) capacitance (C_eq) is the sum of the individual capacitances. The formula is: C_eq = C1 + C2 + C3 + ... + Cn.
Yes, you can combine capacitors in both series and parallel configurations to achieve a desired capacitance. By strategically arranging capacitors in series and parallel, you can fine-tune the total capacitance of the circuit to meet specific requirements.
To find all possible combinations of capacitors to achieve a specific capacitance, you need to systematically explore different series and parallel configurations. This often involves using recursive algorithms or computer programs to iterate through all possible combinations and calculating their equivalent capacitances.
Various tools and software can assist in finding possible combinations of capacitors, including circuit simulation software like SPICE, online capacitor combination calculators, and custom scripts written in programming languages such as Python or MATLAB that can automate the process of calculating and comparing different configurations.