To calculate the Effective Capacitance for capacitors in series:
\[ C_s = \frac{1}{\frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}} \]
Effective capacitance refers to the total capacitance of a combination of capacitors connected either in series or parallel. In a series configuration, the effective capacitance is always less than the smallest individual capacitor in the series. In a parallel configuration, the effective capacitance is the sum of all individual capacitances, resulting in a higher total capacitance.
Let's assume the following values:
Using the formula:
\[ C_s = \frac{1}{\frac{1}{10} + \frac{1}{20} + \frac{1}{30}} \]
The Effective Capacitance is 5.45 μF.
Let's assume the following values:
Using the formula:
\[ C_s = \frac{1}{\frac{1}{5} + \frac{1}{10} + \frac{1}{15}} \]
The Effective Capacitance is 2.73 μF.