Four capacitors are connected as shown in the figure below. (C = 14.0 µF.)C3.00 µFth20.0 µFa6.00 μF(a) Find the equivalent capacitance between points a and b.(b) Calculate the charge on each capacitor, taking AVah = 17.0 V.20.0 µF capacitor6.00 µF capacitorµC3.00 µF capacitorсарacitor C

Answered: Four capacitors are connected as shown…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 45P: Four capacitors are connected as shown in Figure P20.45. (a) Find the equivalent capacitance between...

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Question

Four capacitors are connected as shown in the figure below. (C = 14.0 µF.)
C
3.00 µF
th
20.0 µF
a
6.00 μF
(a) Find the equivalent capacitance between points a and b.
(b) Calculate the charge on each capacitor, taking AVah = 17.0 V.
20.0 µF capacitor
6.00 µF capacitor
µC
3.00 µF capacitor
сарacitor C

Expert Solution

Step 1

Capacitors are arranged in series have the equivalent capacitance as

$\frac{1}{C_{S}} = \frac{1}{C_{1}} + \frac{1}{C_{2}} + . . .$ ......(1)

The charge on each capacitor in a series combination remain same , however the potential difference on one capacitor may be different than another capacitor.

$V = \frac{Q}{C}$ ......(2)

Where Q is the charge on capacitor

C is the capacitance

Capacitors are arranged in parallel have the equivalent capacitance as

$C_{P} = C_{1} + C_{2} + . . . .$ ......(3)

Each capacitor in parallel arrangement have the same potential difference but different charge.

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