Using a 1.5-mF capacitor,a 2.5-mF capacitor,and a 6.0-mF capacitor,which of the following capacitances cannot be made by a combination that uses all three?
A)10.0 mF
B)0.81 mF
C)6.9 mF
D)0.67 mF
E)3.3 mF

Question

Using a 1.5-mF capacitor,a 2.5-mF capacitor,and a 6.0-mF capacitor,which of the following capacitances cannot be made by a combination that uses all three?
A)10.0 mF
B)0.81 mF
C)6.9 mF
D)0.67 mF
E)​3.3 mF

Quizplus · Accepted Answer

To find the possible capacitances that can be made by combining the three capacitors, we need to find all possible combinations of series and parallel connections. Here are the possible combinations and their resulting capacitances:

1.5 mF + 2.5 mF = 4.0 mF (series)
1.5 mF || 2.5 mF = 0.9 mF (parallel)
1.5 mF + 6.0 mF = 7.5 mF (series)
1.5 mF || 6.0 mF = 1.2 mF (parallel)
2.5 mF + 6.0 mF = 8.5 mF (series)
2.5 mF || 6.0 mF = 1.6 mF (parallel)
1.5 mF + 2.5 mF + 6.0 mF = 10.0 mF (series)

Therefore, all capacitances except 0.67 mF can be made by a combination that uses all three capacitors.

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