(1)Five identical capacitors, each with capacitance C, are combined in parallel.
ID: 2239825 • Letter: #
Question
(1)Five identical capacitors, each with capacitance C, are combined in parallel. Determine the effective capacitance, C5P of this combination. (2) Five identical capacitors, each with capacitance C, are combined in series. Determine the effective capacitance, C5S, of this combination. (3) A ten capacitor is constructed by linking C5P and C5S in parallel. Determine the effective capacitance of this network. (4) Another ten capacitor is constructed by linking C5P and C5S in series. Determine the effective capacitance of this network. (5) Compute the amount of energy stored in each of the capacitor networks, considered above, when subjected to a 20 V potential difference.Explanation / Answer
1) in parallel they add so C5P = 5C
2) in series, 1/C5S = 1/C + 1/C + 1/C + 1/C + 1/C
C5S = C/5
3)
in parallel they add, 5C + C/5 = 26C/5
4)
in series 1/5C + 5/C = 26/5C = 5C/26
5)
E = 1/2 C V^2
so 1) E = 1/2 5C * 400 = 1000 C
2) E = 1/2 C/5 * 400= 40 C
3) E =E = 1/2 26C/5 * 400=1040 C
4) 1/2 5C/26 * 400=182.46 C
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