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| Boilerpipe Text | 1.
Resistors
Resistors are
the most commonly used component in electronics and their purpose is to
create specified values of current and voltage in a circuit. A
number of different resistors are shown in the photos. (The resistors are
on millimeter paper, with 1cm spacing to
give some
idea of
the dimensions
). Photo 1.1a
shows
some low-power
resistors
,
while
photo
1.1b shows
some
higher
-power
resistors
.
Resistors with power dissipation below 5 watt (most
commonly used types) are cylindrical in shape, with a wire protruding from
each end for connecting to a circuit (photo 1.1-a).
Resistors with power dissipation above 5 watt are
shown below (photo 1.1-b).
Fig.
1.1a: Some low-power resistors
Fig.
1.1b:
High-power resistors and
rheostats
The s
ymbol for a resistor is shown in
the following diagram
(upper: American symbol, lower: European symbol.)
Fig. 1.2a: Resistor symbols
The unit for
measuring resistance is the
OHM
. (the Greek letter
Ω - called Omega
). Higher resistance values are represented by "k"
(kilo-ohms) and M (meg ohms).
For
example
, 120 000 Ω
is represented as 120k, while 1 200 000 Ω is represented as 1M2. The dot
is generally omitted as it can easily be lost in the printing process.
In some circuit
diagrams, a value such as 8 or 120 represents a resistance in ohms.
Another common practice is to use the letter E for resistance in ohms. The
letter R can also be used. For
example, 120E (120R) stands for 120
Ω
, 1E2 stands for 1R2 etc.
1.1 Resistor Markings
Resistance value is
marked on the resistor body. Most resistors have 4 bands. The first two bands provide the
numbers for the resistance and the third band provides the number of
zeros. The fourth band indicates the tolerance.
Tolerance values of
 5%,
2%, and 1% are most commonly available.
The following table shows the colors used
to identify resistor values:
COLOR
DIGIT
MULTIPLIER
TOLERANCE
TC
 Silver
Â
 x 0.01
W
±10%
Â
Â
Gold
Â
 x 0.1
W
±5%
Â
 Black
0
 x 1
W
Â
Â
 Brown
1
 x 10
W
±1%
±100*10
-6
/K
 Red
2
 x 100
W
±2%
±50*10
-6
/K
 Orange
3
 x 1 k
W
Â
±15*10
-6
/K
 Yellow
4
 x 10 k
W
Â
±25*10
-6
/K
 Green
5
 x 100 k
W
±0.5%
Â
 Blue
6
 x 1 M
W
±0.25%
±10*10
-6
/K
 Violet
7
 x 10 M
W
±0.1%
±5*10
-6
/K
Â
Grey
8
 x 100 M
W
Â
Â
 White
9
 x 1 G
W
Â
±1*10
-6
/K
 ** TC - Temp. Coefficient, only for
SMD devices
Fig. 1.2: b. Four-band resistor, c. Five-band resistor,
d. Cylindrical SMD resistor, e. Flat SMD resistor
   The following shows all resistors from
0R1 (one tenth of an ohm) to 22M:
NOTES:
The resistors above are "common value"Â 5%
types.
The fourth band is called the "tolerance" band. Gold = 5%
(tolerance band Silver =10% but no modern resistors are
10%!!)
"common resistors" have values 10 ohms to 22M.
RESISTORS LESS THAN 10 OHMS
When the
third
band
is gold, it indicates the value of the "colors" must be divided by
10.
Gold = "
divide by 10
" to get values 1R0
to 8R2
See 1st Column above for examples.
When the
third
band is silver, it indicates the value of the "colors" must be divided by
100.
(Remember: more letters in the word "silver" thus the divisor is
"larger.")
Silver = "
divide by 100
" to get
values 0R1 (one tenth of an ohm)
to 0R82
e.g: 0R1 = 0.1 ohm    0R22
= point 22 ohms Â
See 4th Column above for
examples.
The letters "R, k and M" take the place of a decimal
point. The letter "E" is also used to indicate the word "ohm."
e.g: 1
R
0 = 1 ohm    2
R
2 = 2
point 2 ohms  22
R
= 22 ohms Â
2
k
2 =
2,200 ohms    100
k
= 100,000
ohms
2
M
2 = 2,200,000 ohms
Common resistors have 4
bands
. These are shown above. First
two bands indicate the first two digits of the resistance, third band is
the multiplier (number of zeros that are to be added to the number derived
from first two bands) and fourth represents the tolerance.
Marking the resistance with
five bands is used for resistors with tolerance of 2%, 1% and other
high-accuracy resistors. First three bands determine the first three
digits, fourth is the multiplier and fifth represents the tolerance.
For SMD (Surface Mounted
Device) the available space on the resistor is very small. 5% resistors
use a 3 digit code, while 1% resistors use a 4 digit code.
Some SMD resistors are made in
the shape of small cylinder while the most common type is flat.
Cylindrical SMD resistors are marked with six bands - the first five are
"read" as with common five-band resistors, while the sixth band determines
the Temperature Coefficient (TC), which gives us a value of resistance
change upon 1-degree temperature change.
The resistance of
flat SMD resistors is marked with digits printed on their upper side.
First two digits are the resistance value, while the third digit
represents the number of zeros. For example, the printed number 683 stands
for 68000
W
, that is 68k
.
It is self-obvious that there is mass production of all
types of resistors. Most commonly used are the resistors of the E12
series, and have a tolerance value of 5%. Common values for the first two
digits are: 10, 12, 15, 18, 22, 27, 33, 39, 47, 56, 68 and 82.
The E24
series includes all the values above, as well as: 11, 13, 16, 20, 24, 30,
36, 43, 51, 62, 75 and 91. What do these numbers mean? It means that
resistors with values for digits "39" are: 0.39
W
,
3.9
W
,
39
W
,
390
W
,
3.9k
W,
39k
W
, etc are manufactured.
(
0R39
,
3R9
,
39R
,
390R
,
3k9
,
39k)
For some electrical circuits,
the resistor tolerance is not important and it is not specified. In that
case, resistors with 5% tolerance can be used. However, devices which
require resistors to have a certain amount of accuracy, need a specified
tolerance.
1.2 Resistor
Dissipation
If the flow of
current through a resistor increases, it heats up, and if the
temperature exceeds a certain critical value, it can be damaged. The
wattage rating of a resistor is the power it can dissipate over a long
period of time.
Wattage rating is not identified on small resistors.
The following diagrams show the size and wattage rating:
Fig. 1.3: Resistor dimensions
Most commonly used
resistors in electronic circuits have a wattage rating of 1/2W or 1/4W.
There are smaller resistors (1/8W and 1/16W) and higher (1W, 2W, 5W,
etc).
In place of a single resistor with specified dissipation,
another one with the same resistance and higher rating may be used, but
its larger dimensions increase the space taken on a printed circuit board
as well as the added cost.
Power
(in watts) can be calculated according to one of
the following formulae, where U is the symbol for Voltage across the
resistor (and is in Volts), I is the symbol for Current in Amps and R is
the resistance in ohms:
For example, if the voltage across an 820
W
resistor is 12V, the wattage dissipated by the resistors
is:
A 1/4W resistor can
be used.
In many cases, it is
not easy to determine the current or voltage across a resistor. In this
case the wattage dissipated by the resistor is determined for the "worst"
case. We should assume the highest possible voltage across a resistor,
i.e. the full voltage of the power supply (battery, etc).
If we mark
this voltage as
V
B
, the highest dissipation
is:
For example, if
V
B
=9V, the dissipation of a 220
W
resistor is:
A
0.5W or higher wattage resistor should
be used
1.3 Nonlinear resistors
Resistance values
detailed above are a constant and do not change if the voltage or
current-flow alters. But there are circuits that require resistors to
change value with a change in temperate or light. This function may not be
linear, hence the name
NONLINEAR RESISTORS.
There are several
types of nonlinear resistors, but the most commonly used include :
NTC
resistors (figure a) (Negative Temperature Co-efficient) -
their resistance lowers with temperature rise.
PTC
resistors
(figure b) (Positive Temperature Co-efficient) - their resistance
increases with the temperature rise.
LDR
resistors (figure c)
(Light Dependent Resistors) - their resistance lowers with the increase in
light.
VDR
resistors (Voltage dependent Resistors) - their
resistance critically lowers as the voltage exceeds a certain value.
Symbols representing these resistors are shown below.
Fig. 1.4: Nonlinear resistors - a. NTC, b. PTC, c.
LDR
In
amateur conditions where nonlinear resistor may not be available, it
can be replaced with other components. For example,
NTC
resistor may be replaced with a transistor with a trimmer
potentiometer, for adjusting the required resistance value.
Automobile light
may play the role of
PTC
resistor,
while
LDR
resistor could be replaced with an open transistor.
As an example, figure on the right shows the 2N3055, with its upper
part removed, so that light may fall upon the crystal inside.
1.4 Practical
examples with resistors
Figure 1.5 shows two practical
examples with nonlinear and regular resistors as trimmer potentiometers,
elements which will be covered in the following chapter.
Fig. 1.5a: RC amplifier
Figure 1.5a represents an RC voltage amplifier, that can be used for amplifying
low-frequency, low-amplitude audio signals, such as microphone signals.
The signal to be amplified is brought between node 1
(amplifier input)
and gnd, while the resulting amplified signal appears between node 2
(amplifier output)
and gnd. To get the optimal performance (high
amplification, low distortion, low noise, etc) , it is necessary to "set"
the transistor's operating point. Details on the operating point will be
provided in chapter 4; for now, let's just say that DC voltage between
node C and gnd should be approximately one half of battery (power supply)
voltage. Since battery voltage equals 6V, voltage in node C should be set
to 3V. Adjustments are made via resistor R1.
Connect a voltmeter between
node C and gnd. If voltage exceeds 3V, replace the resistor
R1=1.2M
W
with a smaller resistor, say
R1=1M
W
. If voltage still exceeds 3V, keep
lowering the resistance until it reaches approximately 3V. If the
voltage at node C is originally lower than 3V, increase the resistance of R1.
The degree of amplification of the stage depends on R2 resistance:
higher resistance - higher amplification
,
lower resistance -
lower amplification
. If the value of R2 is changed, the voltage at node
C should be checked and adjusted (via R1).
Resistor R3 and 100
µ
F capacitor
form a filter to prevent feedback from occurring. This feedback is called
"Motor-boating" as it sounds like the noise from a motor-boat. This
noise is only produced when more than one stage is employed.
As more stages are added to a circuit, the chance of feedback, in the
form of instability or motor-boating, will occur.
This noise appears at the output of the amplifier, even when no signal
is being delivered to the amplifier.
The instability is produced in the following manner:
Even though no signal is being delivered to the input, the output stage
produces a very small background noise called "hiss. This comes from
current flowing through the transistors and other components.
This puts a very small waveform on the power rails. This waveform is
passed to the input of the first transistor and thus we have produced a
loop for "noise-generation." The speed with which the signal can pass
around the circuit determines the frequency of the instability. By
adding a resistor and electrolytic to each stage, a low-frequency filter
is produced and this "kills" or reduces the amplitude of the offending
signal. The value of R3 can be increased if needed.Â
Practical examples with resistors
will be covered in the following chapters as almost all circuits require
resistors.
Fig. 1.5b:
Sound indicator
of changes in temperature or the amount of light
A practical use for nonlinear resistors is
illustrated on a simple alarm device shown in
figure 1.5b. Without trimmer TP and nonlinear NTC resistor it is an audio
oscillator. Frequency of the sound can be calculated
according to the following formula:
In our case, R=47k
W
and
C=47nF, and the frequency equals:
When, according to the figure, trim pot
and NTC resistor are added, oscillator frequency increases. If the trim pot is set to
minimum resistance, the
oscillator stops. At the desired temperature, the resistance of the trim
pot should be increased until the oscillator starts working again. For
example, if these settings were made at 2°C, the oscillator remains frozen at
higher temperatures, as the NTC resistor's resistance is lower than
nominal. If the temperature falls the resistance increases and at 2°C
the oscillator is activated.
If an NTC resistor is installed in a car,
close to the road surface, the oscillator can warn driver if the road is
covered with ice. Naturally, the resistor and two copper wires connecting it
to the circuit should be protected from dirt and water.
If, instead of an NTC resistor, a PTC resistor
is used, the oscillator will be activated when the temperature rises above
a certain
designated value. For example, a PTC resistor could be used for indicating
the state of a refrigerator: set the oscillator to work at temperatures
above 6°C via trimmer TP, and the circuit will signal if anything is
wrong with the fridge.
Instead of an NTC, we could use an LDR resistor
- the oscillator would be blocked as long as a certain amount of light is
present. In this way, we could make a simple alarm system for rooms where
a light must be always on.
The LDR can be coupled with resistor R. In
that case, the oscillator works when the light is present, otherwise it is
blocked. This could be an interesting alarm clock for huntsmen and
fishermen who would like to get up at the crack of dawn, but only if the
weather is clear. For the desired moment in the early morning, the trim pot
should be set to the uppermost position. Then, the resistance should be carefully
reduced, until the oscillator starts. During the night the oscillator will be blocked, since there is
no light and LDR resistance is very high. As the amount of light increases in
the morning, the resistance of the LDR drops and the oscillator is activated when
the LDR
is illuminated with the required amount of light.
The trim pot from the figure 1.5b is used
for fine adjustments. Thus, TP from figure 1.5b can be used for setting the
oscillator to activate under different conditions (higher or lower
temperature or amount of light).
1.5
Potentiometers
Potentiometers (also called
pots
)
are variable resistors, used as voltage or current regulators in
electronic circuits. By means of construction, they can be divided into 2
groups: coated and wire-wound.
With coated potentiometers, (figure 1.6a),
insulator body is coated with a resistive material. There is a
conductive slider moving across the resistive layer, increasing the
resistance between slider and one end of pot, while decreasing the
resistance between slider and the other end of pot.
Fig. 1.6a: Coated potentiometer
Wire-wound
potentiometers are made of
conductor wire coiled around insulator body. There is a slider moving across the wire, increasing the resistance
between slider and one end of pot, while decreasing the resistance between
slider and the other end of pot.
Coated pots are much more common.
With these, resistance can be linear, logarithmic, inverse-logarithmic or
other, depending upon the angle or position of the slider. Most
common are linear and logarithmic potentiometers, and the most common
applications are radio-receivers, audio amplifiers, and similar devices
where pots are used for adjusting the volume, tone, balance,
etc.
Wire-woun
d potentiometers are used in devices
which require more accuracy in control. They feature
higher dissipation than coated pots, and are therefore in high
current circuits.
Potentiometer resistance is commonly of E6
series, including the values: 1, 2.2 and 4.7.
Standard tolerance values include 30%, 20%, 10% (and 5% for wire-wound
pots).
Potentiometers come in many different
shapes and sizes, with wattage ranging from 1/4W (coated pots for volume
control in amps, etc) to tens of watts (for regulating high currents).
Several
different pots
are shown in the photo 1.6b, along with the symbol for a
potentiometer.
Fig. 1.6b: Potentiometers
The upper model represents a
stereo potentiometer. These are actually two pots in one casing, with
sliders mounted on shared axis, so they move simultaneously. These are
used in stereophonic amps for simultaneous regulation of both left and
right channels,
etc.
Lower left is the so called slider
potentiometer.
Lower right is a wire-wound pot with a wattage of
20W, commonly used as rheostat (for regulating current while charging a
battery etc).
For circuits that demand very accurate
voltage and current values,
trimmer potentiometers
(or just
trim pots
) are used. These are small potentiometers with a slider that
is adjusted via a screwdriver.
Trim pots also come in many
different shapes and sizes, with wattage ranging from 0.1W to 0.5W. Image
1.7 shows several different trim pots,
along with the symbol.
Fig. 1.7: Trim pots
Resistance adjustments are
made via a screwdriver. Exception is the trim pot on the lower right,
which can be adjusted via a plastic shaft. Particularly fine adjusting
can be achieved with the trim pot in the plastic rectangular casing (lower
middle). Its slider is moved via a screw, so that several full turns is
required to move the slider from one end to the other.
1.6 Practical
examples with potentiometers
As previously stated,
potentiometers are most commonly used in amps, radio and TV receivers,
cassette players and similar devices. They are used for adjusting volume,
tone, balance, etc.
As an example, we will analyze
the common circuit for tone regulation in an audio amp. It contains two pots
and is shown in the figure 1.8a.
Fig. 1.8 Tone regulation
circuit: a. Electrical scheme, b. Function of amplification
Potentiometer marked BASS
regulates low frequency amplification. When the slider is in the lowest
position, amplification of very low frequency signals (tens of Hz) is
about ten times greater than the amplification of mid frequency signals
(~kHz). If slider is in the uppermost position, amplification of very low
frequency signals is about ten times lower than the amplification of mid
frequency signals. Low frequency boost is useful when listening to music
with a beat (disco, jazz, R&B...), while Low Frequency amplification should be
reduced when listening to speech or classical music.
Similarly
,
potentiometer marked TREBLE regulates high frequency amplification.
High frequency boost is useful when music consists of high-pitched tones
such as chimes, while for example High Frequency amplification should be reduced when
listening to an old record to reduce the background noise.
Diagram 1.8b shows the function
of amplification depending upon the signal frequency. If both sliders are
in their uppermost position, the result is shown with curve 1-2. If
both are in mid position function is described with line 3-4, and with
both sliders in the lowest position, the result is shown with
curve 5-6. Setting the pair of sliders to any other possible results in curves between curves 1-2 and 5-6.
Potentiometers BASS and TREBLE
are coated by construction and linear by resistance.
The third pot in the diagram is
a volume control. It is coated and logarithmic
by resistance (hence the mark
log
) |
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|  |  | | | |
| **Fig. 1.1a: Some low-power resistors** | **Fig.****1\.1b: High-power resistors and rheostats** | | | |
| | | | | |
| **COLOR** | **DIGIT** | **MULTIPLIER** | **TOLERANCE** | **TC** |
| **Silver** | | x 0.01W | ±10% | |
| **Gold** | | x 0.1W | ±5% | |
| **Black** | 0 | x 1W | | |
| **Brown** | 1 | x 10W | ±1% | ±100\*10\-6/K |
| **Red** | 2 | x 100W | ±2% | ±50\*10\-6/K |
| **Orange** | 3 | x 1 kW | | ±15\*10\-6/K |
| **Yellow** | 4 | x 10 kW | | ±25\*10\-6/K |
| **Green** | 5 | x 100 kW | ±0.5% | |
| **Blue** | 6 | x 1 MW | ±0.25% | ±10\*10\-6/K |
| **Violet** | 7 | x 10 MW | ±0.1% | ±5\*10\-6/K |
| **Grey** | 8 | x 100 MW | | |
| **White** | 9 | x 1 GW | | ±1\*10\-6/K |
| | | | | |
|  |  |  |  | |
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|  |  |  |  | |
| | | | | |
| In amateur conditions where nonlinear resistor may not be available, it can be replaced with other components. For example, *NTC* resistor may be replaced with a transistor with a trimmer potentiometer, for adjusting the required resistance value. Automobile lightmay play the role of *PTC* resistor, while *LDR* resistor could be replaced with an open transistor. As an example, figure on the right shows the 2N3055, with its upper part removed, so that light may fall upon the crystal inside. |  | | | |
| | | |
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