Prof. Nicholas Beahan
Nov 16, 2024
Find the total capacitance of the combination of capacitors shown the figure?
What is the total capacitance of the combination of capacitors shown in the figure? You can view the figure at the following link: http://64.19.142.11/cnx.org/content/m42336/latest/...
1 Answers
Caps in parallel: Ct = C1 + C2 + C3....
Caps in series: 1/Ct = 1/C1 + 1/C2 + 1/C3...
On the left side, 5.0 uF in series with 3.5 uF:
1/Ct = 1/5 + 1/3.5
1/Ct = 0.4857
Ct = 2.059 uF
Right side we have 15 uF in parallel with 0.75 uF
Ct = 15 + 0.75 = 15.75 uF
That is in series with 1.5 uF
15.75 in series with 1.5 = 1.370 uF
We also have that big 8.0 uF in the middle which is in parallel with both of the above. We have
2.059 uF in parallel with 8.0 uF in parallel with 1.370 uF
2.059 + 8.0 + 1.370 = 11.429 uF
Total C = 11.429 uF
For others, the drawing is actually at http://cnx.org/content/m42336/latest/Figure_20_05_...
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