Question

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

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

Answer 1

The connected series capacitors of 12 MFD and 15 MFD have a calculated total capacitance of approximately 13.33 MFD, which doesn't match with any of the provided answer choices.

Step-by-step explanation:

When calculating the total capacitance of capacitors connected in series, the inverse of the total capacitance (1/Ctotal) is the sum of the inverses of the individual capacitances (1/C1+1/C2+...+1/Cn). For two capacitors with capacitances of 12 MFD (microfarads) and 15 MFD, the total capacitance in series is calculated as follows:

1. Calculate the reciprocal of each individual capacitance: (1/12 MFD) + (1/15 MFD).
2. Add the reciprocals: (1/12) + (1/15) = (15+12) / (12*15) = 27 / 180 = 3/40 MFD.
3. Take the reciprocal of the sum to find the total capacitance: 40/3 MFD.
4. The total capacitance in series is thus 40/3 MFD, which is approximately 13.33 MFD.

To find the nearest option to 13.33 MFD, we can check the given answers. However, it seems there might be a confusion in the question or the given answer options do not match the calculated result. The correct method shows that none of the answer choices (A) 5.66, (B) 6.35, (C) 6.97, or (D) 6.66 is accurate for the provided capacitors in series.