الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

Capacitors and capacitance
Example 6.3
Find the equivalent capacitance between points a and b for the group of
capacitors shown in figure 6.7 . C 1 =1µF, C 2 =2µF, C 3 =3µF, C 4 =4µF,
C 5 =5µF, and C 6 =6µF.
a
Ak
Am
C 2
C 4
Ag
C 6 C 3
Ad
Ae
C 1
C 5
Al
Ah
Ab
(i)
Figure 6.7
Solution
First the capacitor C 3 and C 6 are connected in series so that the equivalent
capacitance C de is
1
C
de
=
1
6
+
1
; ⇒ C
3
de
= 2µ F
Second C 1 and C 5 are connected in parallel
C kl =1+5=6µF
The circuit become as shown below
2
Am
4
Ag
Ad
2
Ae
Ah
a
6
Ab
Ak
Al
Continue with the same way to reduce the circuit for the capacitor C 2 and
C de to get C gh =4µF
(ii)
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