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Capacitors and capacitance
6.4 Combination of capacitors
Some times the electric circuit consist of more than two capacitors, which
are, connected either in parallel or in series the equivalent capacitance is
evaluated as follow
6.4.1 Capacitors in parallel:
In parallel connection the capacitors are connected as shown in figure 6.5
below where the above plates are connected together with the positive
terminal of the battery, and the bottom plates are connected to the negative
terminal of the battery.
V
Cq 1 Cq 2
Cq 3
C 1
C 2 C 3
Figure 6.5
In this case the potential different across each capacitor is equal to the
voltage of the battery V
The charge on each capacitor is
i.e. V=V 1 =V 2 =V 3
q ; q = C V
1
= C1V1
q2
= C2V2
;
3
3
3
The total charge is
q = q
1
+ q
+ q
q = ( C + C + C3)
V
Q C =
1
q
V
The Equivalent capacitance is
2
2
3
في حالة توصيل المكثفات
على التوازي يكون فرق
الجهد على كل مكثف
مساويا ً لفرق جهد البطارية،‏
أما الشحنة فتتوزع بنسبة
سعة كل مكثف.‏
C = C +
(6.9)
1
+ C2
C3
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