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1418-1, Capacitors and Capacitive Circuits Experiment 6: Using Capacitors in Voltage-Divider Networks

1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

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Page 1: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

1418-1, Capacitors

and Capacitive

Circuits

Experiment 6: Using Capacitors in

Voltage-Divider Networks

Page 2: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Objective

• To verify that capacitors can be used

in AC voltage-divider circuits without

the use of resistors.

Page 3: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Introduction

• Capacitors can be used in an a-c voltage

divider application in a circuit in a

manner similar to a resistive voltage-

divider network.

Note: Care must be taken when

capacitors are used in this way, since their

capacitive reactance is frequency-

sensitive and the design will be good only

within a narrow range of frequencies.

Page 4: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Basic two component ckt

Page 5: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

• Where frequency enters into a voltage-

divider design, resistors and not

capacitors should be used.

• Remember, when capacitors are used in

voltage-divider circuits, they usually

require a constant frequency signal

source.

• Capacitors consume little power, so the

power drain will be small in a capacitive

voltage-divider network.

Page 6: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Basic theory review

• A voltage-divider circuit is a typical

series circuit containing two or more

components. To simplify the experiment,

we will be using only two capacitors.

• The following slide will review the

general rules for a series circuit and we

will review some of the formulas needed

to analyze the circuit.

Page 7: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

1. The current is the same through all

parts/components of the circuit.

a) The current “I” equals the applied

voltage “E” divided by the total circuit

impedance “Z”.

2. The applied voltage must be equal to the

sum of all the voltage drops.

Page 8: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

IT for Reactive Circuit

Page 9: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Formulas for E1 & E2 for

reactive circuits

Page 10: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Formula for E1 for Capacitive

Circuit

Page 11: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Procedure

1. Calculate the voltages for the circuits

a) Record values in table in lesson

2. Build the following three circuits.

3. Measure the voltages you calculated

4. Calculate %error using formula given

for each circuit and record %error

Page 12: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Circuit 1

Page 13: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Ckt 1 wiring example:

Page 14: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

%error formula

Page 15: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Circuit 2

Page 16: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Ckt 2 wiring example:

Page 17: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

%error formula

Page 18: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Circuit 3

Page 19: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Ckt 3 wiring example:

Page 20: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

%error formula

Page 21: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Final Discussion

• The data from the three voltage-divider

circuits verified the voltage-divider

principle when capacitors are used as the

only components in the circuit.

• In each case, the division of voltage was

predictable (with the values of the

capacitors known).

Page 22: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

• Remember to use the discussed formulas

when predicting the values of EC1 & EC2

and any other values in a multicomponent

divider circuit.

Page 23: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Questions?

Page 24: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

Resources

• Rubenstein. (2001). Lesson 1418:

Capacitors and capacitive circuits.

Cleveland: Cleveland Institute of

Electronics.

Page 25: 1418-1, Capacitors and Capacitive Circuits€¦ · in AC voltage-divider circuits without the use of resistors. Introduction •Capacitors can be used in an a-c voltage divider application

The End

Developed and Produced by the Instructors in the CIE Instruction

Department.

© Copyright 04/2012

All Rights Reserved / April 2012