ECE 2100 Circuit Analysis Lesson 6 Chapter 2: Design of a

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ECE 2100

Circuit Analysis

Lesson 6

Chapter 2: Design of a

Voltmeter and Ammeter using Analog Meters

Daniel M. Litynski, Ph.D.

http://homepages.wmich.edu/~dlitynsk/

ECE 2100

Circuit Analysis

Review Lesson 5

Chapter 2

Series Resistors and Voltage Division

Parallel Resistors and Current Division

ECE 2100

Circuit Analysis

Lesson 6

Chapter 2: Design of a

Voltmeter and Ammeter using Analog Meters

Lesson 6

Design of a Voltmeter and Ammeter using Analog Meters

Potentiometer

2.4 Series Resistors and Voltage

Division (1)

• Series: Two or more elements are in series if they are cascaded or connected sequentially and consequently carry the same current.

• The equivalent resistance of any number of resistors connected in a series is the sum of the individual resistances.

N

R eq

R

1

R

2

R

N

R n n 1

• The voltage divider can be expressed as v n

R

1

R

2

R n

R

N v

7

Potentiometer

• Potentiometer is an adjustable, three terminal, voltage divider device.

• The equivalent resistance of two variable resistors connected in a series is the sum of the individual resistances.

R ac

R ab

R bc

• Then the voltage out is governed by:

V out

V bc

R bc

R ac

V in

8

d’Arsonval Meter Movement

• The d’Arsonval movement measures current.

• The amount of current through its coil determines the amount of movement, or deflection, of a pointer .

• The movement consists of a moveable iron core coil mounted on a pivot between the poles of a permanent magnet. (See

Fig. 2.8)

• It is used with series or parallel resistors to make a voltmeter or ammeter respectively.

9

Voltmeter and Ammeter

• The Voltmeter measures voltage ACROSS an element.

– A Voltmeter is placed in parallel with the element to be measured.

– To construct a Voltmeter, put resistors in series with a d’Arsonval meter.

• The Ammeter measures current THROUGH an element.

– An Ammeter is placed in series with the element to be measured.

– To construct an Ammeter, put resistors in parallel with a d’Arsonval meter.

11

Measuring Resistance and the Ohmmeter

• Resistance Measure Method 1: Connect an ammeter and voltmeter in series and parallel respectively to the device. Assume linearity and use Ohm’s law to determine.

This is an indirect measurement.

• Resistance Measure Method 2: Connect an ohmmeter to the device. This is a direct measurement.

• To Build an Ohmmeter, use a d’Arsonval, a variable resistor, and a battery.

15

ECE 2100

Circuit Analysis

Lesson 6

Chapter 2: Design of a

Voltmeter and Ammeter using Analog Meters

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