Question

When sizing capacitors in series, what would be the total capacitance with 12MFD and 15MFD capacitors?

A. 5.66
B. 6.35
C. 6.97
D. 6.66

Answer 1

The total capacitance of a 12 MFD and a 15 MFD capacitor connected in series is approximately 6.67 MFD, which is not reflected in the options provided. There is likely a typo in the options.

Step-by-step explanation:

When capacitors are connected in series, the total capacitance is calculated using the reciprocal formula: 1/Ctotal = 1/C1 + 1/C2, where C1 and C2 are the capacitances of the individual capacitors. For a 12 MFD (microfarads) and a 15 MFD capacitor in series, we calculate the total capacitance as follows:

1. 1/Ctotal = 1/12 + 1/15
2. 1/Ctotal = (15 + 12) / (12 * 15)
3. 1/Ctotal = 27 / 180
4. Ctotal = 180 / 27
5. Ctotal = 6.67 MFD

The correct answer, rounded to two decimal places, is approximately 6.67 MFD, which is not listed in the given options. There might be a typo in the options provided by the student as none of them correctly reflect the calculated total capacitance.