Equivalent Capacitance

2013-01-31 11:25 pm
A network of ve capacitors is connected as shown in the gure below. The respective values of capacitance
are C1=1 F; C2=2 F; C3=3 F; C4=4 F; and C5=5 F.

個圖係一個零形最上面係b,最下面係d, 右面係c, 左面係a., a 和b 之間有C1, b 和c 之間有c2, , c 和d 之間有C5, a和 d 之間係C4, 中間係c3, 而a 點有線連c 點。


b


a c


d











a) Calculate the equivalent capacitance Cab between points a and b, in F.
b) Calculate the equivalent capacitance Cac between points a and c, in F.
c) Calculate the equivalent capacitance Cad between points a and d, in F.
Hint: In each case, re-draw the network to show that it is equivalent to a particular series-parallel combination
of capacitors. The equivalent capacitances can then be calculated quite readily. (You'll notice I didn't ask you
to calculate the equivalent capacitance Cbd between points b and d. This is not equivalent to a series-parallel
combination, and is much harder to calculate.)
更新1:

c3是 a 點連去C 點..

更新2:

唔好意思. 我唔知 (C4 in series C5)//C3 = C',... 是什麼意思.

回答 (3)

2013-02-02 7:49 am
✔ 最佳答案
You just follow the hint and re-draw the circuit into series and parallel combination of capacitors.

(a) (C4 in series C5)//C3 = C', say
then (C' in series with C2)//C1 = Cab equivalent capacitance.

(b) Cac = (C1 in series with C2)//(C4 in series with C5)// C3

(c) (C1 in series with C2)//C3 = C'', say
then (C" in series with C5)//C4 = Cad equivalent capacitance

2013-02-02 23:53:50 補充:
Q:我唔知 (C4 in series C5)//C3 = C',... 是什麼意思
A: First calculate C4 in series with C5, and then use the calculated capacitance to be in parallel with C3. Let the final capacitance to be C'
.
2013-02-01 10:59 pm
c3是 a 點連去C 點..
2013-02-01 4:36 pm
For "中間係c3", c3 is connected to which points?


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