Question
Asked Nov 10, 2019
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Consider the example of a parallel combination of capacitors: Three capacitors are connected to each other and to a battery as shown in the figure.(Figure 1) The individual capacitances are C, 2C, and 3C, and the battery's voltage is V.

Suppose we consider the system of the three capacitors as a single "equivalent" capacitor. Given the charges of the three individual capacitors calculated in the previous part, find the total charge Qtot for this equivalent capacitor.
Express your answer in terms of V and C.
Using the value of Qtot, find the equivalent capacitance Ceq for this combination of capacitors.
Express your answer in terms of C.
C
2
2C
3
3C
6
5
V
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C 2 2C 3 3C 6 5 V

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Expert Answer

Step 1

The formula of equivalent capacitance for the parallel combination of the capacitor:

=C +CC.
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=C +CC.

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Step 2

The relation between charge and capacitance:

Q = CV

Step 3

The capacitors C, 2C and 3C are...

= C1
=C + 2C +3C
= 6C
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= C1 =C + 2C +3C = 6C

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