The diagram shows six 6-$\mu$F capacitors. The capacitance between points a and b is:
A) 1 $\mu$F
B) 3 $\mu$F
C) 4 $\mu$F
D) 6 $\mu$F
E) 9 $\mu$F

Question

The diagram shows six 6-$\mu$F capacitors. The capacitance between points a and b is: 
A) 1 $\mu$F 
B) 3 $\mu$F 
C) 4 $\mu$F 
D) 6 $\mu$F 
E) 9 $\mu$F

Quizplus · Accepted Answer

To find the capacitance between points a and b, we need to first identify the capacitors that are in parallel and then add them up.

Starting with the bottom row, the two 1F1F1S1F1F1F10F capacitors are in parallel, so their total capacitance is 2F1F1F1S1F1F1F10F.

Moving up to the second row, we have a 6F1F1F1S1F1F1F10F capacitor, which is not directly in parallel with any other capacitors. However, if we look at the top row, we see that the 6F1F1F1S1F1F1F10F capacitor is in parallel with the 1F1F1S1F1F1F10F capacitor on the left. So we can combine these two capacitors to get a total capacitance of 7F1F1F1S1F1F1F10F.

Finally, we have the 1F1F1S1F1F1F10F capacitor on the right in the top row, which is not in parallel with any other capacitors.

To get the total capacitance between points a and b, we add up the capacitors that are in parallel:

2F1F1F1S1F1F1F10F + 7F1F1F1S1F1F1F10F + 1F1F1S1F1F1F10F = 10F1F1F1S1F1F1F10F

Therefore, the best choice is C) 4 F1F1F1S1F1F1F10F.

The Diagram Shows Six 6- μ\muμ F Capacitors μ\muμ F B) 3 μ\muμ

The Diagram Shows Six 6- $\mu$ F Capacitors $\mu$ F
B) 3 $\mu$