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Chapter 4: Q16E (page 809)

For the system of capacitors shown in Fig, find the equivalent capacitance

(a) between b and c, and

(b) between a and c.

Short Answer

Expert verified

a) C'eq=20.0pF (b nad c).

b) role="math" localid="1664255611070" C''eq=8.60pF (a and b).

In the in-series connection, the equivalent capacitance is always less than any individual capacitance.

Step by step solution

01

Parallel Connection

We are given a system of capacitors. Let us assume the capacitors as next

C1=15.0pF, C2=9.0pF and C3=11.0pF

(a) We see two capacitors C2and C3are in parallel between the two points b and c, and we can use the equation to replace them with their equivalent capacitance C'eqas next

Hence the in parallel connection, the equivalent capacitance is always greater than any individual capacitance

02

Series Connection

(b) We have two capacitors are in series, the first capacitor and the equivalent capacitor Ceq'so we can use the equation to replace them with their equivalent capacitance for the system com as next

Hence the in series connection, the equivalent capacitance is always less than any individual capacitance.

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