If capacitors of 20MFD@370VAC and 15MFD@370VAC are wired in series, what is the total capacitance?

When capacitors are connected in series, the total capacitance is calculated using the formula:

[ \frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2}

]

In this case, you have one capacitor with a capacitance of 20 microfarads (MFD) and another with 15 MFD, both at a voltage rating of 370VAC. Applying the values:

[ \frac{1}{C_{total}} = \frac{1}{20} + \frac{1}{15} ]

To perform this calculation, you convert the fractions to a common denominator, which in this case is 60:

[ \frac{1}{C_{total}} = \frac{3}{60} + \frac{4}{60} = \frac{7}{60} ]

Now, take the reciprocal to find the total capacitance:

[ C_{total} = \frac{60}{7} \approx 8.57 , MFD ]

This rounds to approximately 8.6 MFD, which aligns with the value presented in the correct answer choice.

Additionally, since capacitors