Module 8—Introduction to Amplifiers
Pages i - ix
1-1 to 1-10
, 1-11 to 1-20
1-21 to 1-30
, 1-31 to 1-40
2-1 to 2-10
, 2-11 to 2-20
2-21 to 2-30
, 2-31 to 2-35
3-1 to 3-10
,3-11 to 3-20
3-21 to 3-30
, 3-31 to 3-40
3-41 to 3-50
, 3-51 to 3-60
3-61 to 3-70
, AI-1 to AI-3
Now compute the voltage
developed by R1 (ER1):
Compute the current through R1 (IR1):
Compute the voltage developed by R3 (ER3):
Add this voltage to the voltage at point A to compute the output voltage (Eout):
This was the output desired, so the circuit works as a difference amplifier.
Q-28. What is the
difference between a summing amplifier and an adder circuit?
Q-29. Can a summing amplifier have more
than two inputs?
Q-30. What is a scaling amplifier?
Refer to figure 3-27 in answering Q31 through Q33.
Figure 3-27.—Circuit for Q31 through Q33.
Q-31. What type of circuit is figure 3-27?
Q-32. If: E1 = +2V, and: E2 = +6V, then Eout =
Q-33. What is the difference in potential between the inverting (-) and noninverting (+) inputs to the
operational amplifier when: E1 = +6V, and E2 = +2V
Q-34. What is the difference between a subtractor
and a difference amplifier?
Q-35. Can a difference amplifier have more than two inputs?
Refer to figure 3-28 in answering
Q36 through Q38.
Figure 3-28.—Circuit for Q36 through Q38.
Q-36. What type of circuit is figure 3-28?
Q-37. If: E1 = +5V, and: E2 = +11V, then Eout
Q-38. What is the difference in potential between the inverting (í DQG noninverting (+) inputs to
the operational amplifier when: E1 = +2V, and E2 = +4V
You have now been shown various ways that electron tubes (NEETS, Module 6) and transistors (NEETS,
Module 7) can be used to amplify signals. You have also been shown the way in which this is done. There is another
type of amplifier in use—the MAGNETIC AMPLIFIER, sometimes called the MAG AMP.
The magnetic amplifier has
certain advantages over other types of amplifiers. These include (1) high efficiency (up to 90 percent); (2)
reliability (long life, freedom from maintenance, reduction of spare parts inventory); (3) ruggedness (shock and
vibration resistance, high overload capability, freedom from effects of moisture); and (4) no warm-up time. The
magnetic amplifier has no moving parts and can be hermetically sealed within a case similar to the conventional
However, the magnetic amplifier has a few disadvantages. For example, it cannot handle low-level signals; it is
not useful at high frequencies; it has a time delay associated with the magnetic effects; and the output waveform
is not an exact reproduction of the input waveform (poor fidelity).
The magnetic amplifier is important,
however, to many phases of naval engineering because it provides a rugged, trouble-free device that has many
applications aboard ship and in aircraft. These applications include throttle controls on the main engines of
ships; speed, frequency, voltage, current, and temperature controls on auxiliary equipment; and fire control,
servomechanisms, and stabilizers for guns, radar, and sonar equipment.
As stated earlier, the magnetic
amplifier does not amplify magnetism, but uses electromagnetism to amplify a signal. It is a power amplifier with
a very limited frequency response. Technically, it falls into the classification of an audio amplifier; but, since
the frequency response is normally limited to 100 hertz and below, the magnetic amplifier is more correctly called
a low-frequency amplifier.
The basic principle of a magnetic amplifier is very simple. (Remember, all
amplifiers are current- control devices.) A magnetic amplifier uses a changing inductance to control the power
delivered to a load. BASIC OPERATION OF A MAGNETIC AMPLIFIER
Figure 3-29 shows a
simple circuit with a variable inductor in series with a resistor (representing a load). The voltage source is 100
volts at 60 hertz.
Figure 3-29.—Variable inductor in series with a load.
What happens when the inductance decreases? The end result is that the power in the load (true power)
increases. Why? Look at the following formulas and see how each is affected by a decrease in inductance.
(True power is covered in NEETS, Module 2—Introduction to Alternating Current and Transformers.)
As inductance (L) decreases, XL decreases. As XL decreases, Z decreases. As Z decreases, I increases. Finally, as
I increases, true power increases.
This general conclusion can be confirmed by using some actual values of
inductance in the formulas along with other values from figure 3-29.
If the value of inductance is 23
millihenries, the formulas yield the following values:
Now, if the value of inductance is decreased to 11.7 millihenries, the formulas yield the following
So a decrease in inductance of 11.3 millihenries (23 mH—11.7 mH) causes an increase in power to the load
(true power) of 625 watts (1125 W—500 W). If it took 1 watt of power to change the inductance by 11.3 millihenries
(by some electrical or mechanical means), figure 3-29 would represent a power amplifier with a gain of 625.
Q-39. What is the frequency classification of a magnetic amplifier?
Q-40. What is the basic principle
of a magnetic amplifier?
Q-41. If inductance increases in a series LR circuit, what happens to true power?
METHODS OF CHANGING INDUCTANCE
Since changing the inductance of a coil enables the
control of power to a load, what methods are available to change the inductance? Before answering that question,
you should recall a few things about magnetism and inductors from NEETS, Module 1—Introduction to Matter, Energy,
and Direct Current, chapter 1—Matter, Energy, and Electricity; and Module 2 —Introduction to Alternating Current
and Transformers, chapter 2—Inductance.
Permeability was defined as the measure of the ability of a
material to act as a path for additional magnetic lines of force. Soft iron was presented as having high
permeability compared with air. In fact, the permeability of unmagnetized iron is 5000 while air has a
permeability of 1. A nonmagnetized piece of iron has high permeability because the tiny molecular magnets (Weber's
Theory) or the directions of electron spin (Domain Theory) are able to be aligned by a magnetic field. As they
align, they act as a path for the magnetic lines of force.
Earlier NEETS modules state that the inductance of a coil increases directly as the permeability of
the core material increases. If a coil is wound around an iron core, the permeability of the core is 5000. Now, if
the iron is pulled part way out of the coil of wire, the core is part iron and part air. The permeability of the
core decreases. As the permeability of the core decreases, the inductance of the coil decreases. This increases
the power delivered to the load (true power). This relationship is shown in figure 3-30.
The system shown
in figure 3-30 is not too practical. Even if a motor were used in place of the hand that is shown, the resulting
amplifier would be large, expensive, and not easily controlled. If the permeability of a core could be changed by
electrical means rather than mechanical, a more practical system would result.
Figure 3-30.—Varying coil inductance with a movable coil.
High permeability depends on there being many molecular magnets (or electron spin directions) that can
be aligned to provide a path for magnetic lines of force. If almost all of these available paths are already being
used, the material is magnetized and there are no more paths for additional lines of force. The "flux density"
(number of lines of force passing through a given area) is as high as it can be. This means that the permeability
of the material has decreased. When this condition is reached, the core is said to be SATURATED because it is
saturated (filled) with all the magnetic lines of force it can pass. At this point, the core has almost the same
value of permeability as air (1) instead of the much higher value of permeability (5000) that it had when it was
Of course, the permeability does not suddenly change from 5000 to 1. The permeability changes as the magnetizing
force changes until saturation is reached. At saturation, permeability remains very low no matter how much the
magnetizing force increases. If you were to draw a graph of the flux density compared to the magnetizing force,
you would have something similar to the graph shown in figure 3-31. Figure 3-31 also includes a curve representing
the value of permeability as the magnetizing force increases. Point "s" in figure 3-31 is the point of saturation.
The flux density does not increase above point "s," and the permeability is at a steady, low value.
Figure 3-31.—Magnetization and permeability curves.
You have now seen how a change in the magnetizing force causes a change in permeability. The next
question is, how do you change the magnetizing force? Magnetizing force is a function of AMPERE-TURNS. (An
ampere-turn is the magnetomotive force developed by 1 ampere of current flowing in a coil of one turn.) If you
increase the ampere-turns of a coil, the magnetizing force increases. Since it is not practical to increase the
number of turns, the easiest way to accomplish this is to increase the current through the coil.
increase the current through a coil, you increase the ampere-turns. By increasing the ampere- turns you increase
the magnetizing force. At some point, this causes a decrease in the permeability of the core. With the
permeability of the core decreased, the inductance of the coil decreases. As said before, a decrease in the
inductance causes an increase in power through the load. A device that uses this arrangement is called a
SATURABLE-CORE REACTOR or SATURABLE REACTOR.
A saturable-core reactor is a magnetic-core reactor (coil) whose reactance
is controlled by changing the permeability of the core. The permeability of the core is changed by varying a
unidirectional flux (flux in one direction) through the core.
Figure 3-32 shows a saturable-core reactor
that is used to control the intensity of a lamp. Notice that two coils are wound around a single core. The coil on
the left is connected to a rheostat and a battery. This coil is called the control coil because it is part of the
control circuit. The coil on the right is connected to a lamp (the load) and an a.c. source. This coil is called
the load coil because it is part of the load circuit.
As the wiper (the movable connection) of the
rheostat is moved toward the right, there is less resistance in the control circuit. With less resistance, the
control-circuit current increases. This causes the amount of magnetism in the core to increase and the inductance
of the coil in the load circuit to decrease (because the core is common to both coils). With less inductance in
the load circuit, load current increases and the lamp gets brighter.
Figure 3-32.—A simple saturable-core reactor circuit.
The schematic diagram of this circuit is shown in figure 3-33. L1 is the schematic symbol for a
saturable-core reactor. The control winding is shown with five loops, and the load winding is shown with three
loops. The double bar between the inductors stands for an iron core, and the symbol that cuts across the two
windings is a saturable-core symbol indicating that the two windings share a saturable core.
Figure 3-33.—Schematic diagram of a simple saturable-core reactor.
Now that you have seen the basic operation of a saturable-core reactor, there is one other idea to
discuss before moving on to the circuitry of a magnetic amplifier. There is a point upon the magnetization curve
where the saturable-core reactor should be operated. The ideal operating point is the place in which a small
increase in control current will cause a large increase in output power and a small decrease in control current
will cause a large decrease in output power. This point is on the flattest portion of the permeability curve
(after its peak).
Figure 3-34 shows the magnetization and permeability curves for a saturable-core reactor with the ideal operating
point (point "O") indicated. Notice point "O" on the magnetization curve. The portion of the magnetization curve
where point "O" is located is called the KNEE OF THE CURVE. The knee of the curve is the point of maximum
curvature. It is called the "knee" because it looks like the knee of a leg that is bent. Saturable-core reactors
and magnetic amplifiers should be operated on the knee of the magnetization curve.
Figure 3-34.—Magnetization and permeability curves with operating point.
When the saturable-core reactor is set at the knee of the magnetization curve, any small increase in
control current will cause a large increase in load current. Any small decrease in control current will cause a
large decrease in load current. That is why point "O" is the ideal operating point-because small changes in
control current will cause large changes in load current. In other words, the saturable-core reactor can amplify
the control current. However, a saturable-core reactor is NOT a magnetic amplifier. You will find out a little
later how a magnetic amplifier differs from a saturable-core reactor. First you should know a few more things
about the saturable-core reactor.
If a d.c. voltage is applied to the control winding of a saturable-core
reactor and an a.c. voltage is applied to the load windings, the a.c. flux will aid the d.c. flux on one half
cycle and oppose the d.c. flux on the other half cycle. This is shown in figure 3-35. Load flux is indicated by
the dashed-line arrows, and control flux is indicated by the solid-line arrows. View (A) shows the load and
control flux adding during one half cycle of the a.c. View (B) of the figure shows the load and control flux
opposing during the other half cycle of the a.c.
Figure 3-35A.—Flux paths in a saturable-core reactor. FLUX AIDING
Figure 3-35B.—Flux paths in a saturable-core reactor. FLUX OPPOSING
This situation causes the operating point of the saturable-core reactor to shift with the applied a.c.
However, the situation would be better if the load flux was not an influence on the control flux. Figure 3-36
shows a circuit in which this is accomplished.
During the first half cycle, the load circuit flux
(dashed-line arrows) cancels in the center leg of the core. This is shown in figure 3-36, view (A). As a result,
there is no effect upon the flux from the control circuit. During the second half cycle, the polarity of the a.c.
(and therefore the polarity of the flux) reverses as shown in view (B). The result is the same as it was during
the first half cycle. There is no effect upon the control circuit flux.
Figure 3-36A.—Three-legged, saturable-core reactor. FIRST HALF CYCLE
Introduction to Matter, Energy, and Direct Current,
to Alternating Current and Transformers, Introduction to Circuit Protection,
Control, and Measurement
, Introduction to Electrical Conductors, Wiring Techniques,
and Schematic Reading
, Introduction to Generators and Motors
Introduction to Electronic Emission, Tubes, and Power Supplies,
Introduction to Solid-State Devices and Power Supplies
Introduction to Amplifiers, Introduction to
Wave-Generation and Wave-Shaping Circuits
, Introduction to Wave Propagation, Transmission
Lines, and Antennas
, Microwave Principles,
, Introduction to Number Systems and Logic Circuits, Introduction
to Microelectronics, Principles of Synchros, Servos, and Gyros
Introduction to Test Equipment
, Radar Principles,
The Technician's Handbook,
Master Glossary, Test Methods and Practices,
Introduction to Digital Computers,
Magnetic Recording, Introduction to Fiber Optics