Wireless Telephony And Alternating Currents - Course Of Physics
Course Of Physics
Chapter I. Introduction And Measurement. Page
Chapter II. Molecular Forces And Motions.
Chapter III. Mechanics or Liquids.
Chapter IV. Mechanics Of Gases.
Chapter V. Force And Motion.
Chapter VI. Work And Energy.
Chapter VII. Heat, Its Production And Transmission.
Chapter VIII. Heat And Work.
Chapter IX. Magnetism.
Chapter XI. Static Electricity.
Chapter XI. Electric Currents Produced By VoltaicCells.
Chapter XII. Magnetic Effects Of Electric Currents,And Electrical Measurements.
Chapter XIII. Chemical And Heat Effects Of ElectricCurrents.
Chapter XIV. Induced Currents.
Chapter XV. Sound.
Chapter XVI. Light.
Chapter XVII. Invisible Radiations.
Chapter XVIII. Wireless Telephony And AlternatingCurrents.
CHAPTER XVIII
WIRELESS TELEPHONY AND ALTERNATING CURRENTS
The developments in wireless communication have been so rapid
during recent years that a more extended account, than that given in
Art. 417 of the apparatus and methods used at the present time, seems
desirable. The study of Alternating Currents is also included with the
idea that it will make the text more complete and of wider usefulness.
Wireless Telephony
425. The Wireless Telephone.?One of the most important developments in wireless communication in recent years has been in wireless telephony. We realize its possibilities, when we hear of the achievements of talking across an ocean or between airplanes and the ground.The wireless telephone can be best understood by comparing it with the common telephone. When the latter is in use, a direct current flows continually through the instrument. (See Arts. 312-316.) When a person speaks into the transmitter, the sound waves of the voice cause the diaphragm to vibrate, this action causes rapid changes in the resistance of the transmitter, which in turn causes the direct current to fluctuate just in step with the pulses of the voice waves. This fluctuating direct current passes through the primary of an induction coil, producing in the secondary an intensified alternating current. This passes over the line wires to the receiver where it produces[Pg 461] variations in the magnetic field affecting the receiver diaphragm, causing the latter to reproduce the voice of the person speaking in the transmitter. Now to make the comparison clear, two facts must be noted with regard to the wire telephone: first, there must be an action in the transmitter which causes variations in a current through the instrument; second, this fluctuating current produces a more intense alternating current which flows over the line and affects the receiver diaphragm, producing there sound vibrations of greater intensity than those used at the transmitter. This added energy comes from the current flowing through the transmitter. The case is analogous to that of an electric bell. The armature of the bell vibrates with greater energy than is required to push the button, the extra energy being derived from the battery.
426. The Action of the Wireless Telephone.?In the wireless telephone we have a continuous stream of electric waves of high frequency. (See Fig. 425A.) This stream of electric waves corresponds to the current that flows through the transmitter in the wire telephone. These waves are of such high frequency that even though we had a receiver diaphragm vibrating in step with the waves, we could not hear the sound because the human ear cannot hear a sound which consists of more than about 40,000 vibrations per second. The sound waves act upon this stream of waves very much, as in the wire telephone, the transmitter acts to modify the line current. The impulses caused by the voice are much slower than the electric waves first mentioned and these slower impulses are reproduced in the receiver. Not only are these slower impulses reproduced but they are amplified, that is, produced with greater energy than the impulses impressed on the stream of waves. Fig.[Pg 462] 425A represents as nearly as is possible in a diagram the continuous stream of electric waves. Fig. 426B, represents the impulses produced by the sound alone, and Fig.[Pg 463] 426C, shows how these voice impulses are impressed on the stream of waves.
[Pg 466]
Alternating Currents
428. Alternating currents are of interest to us because of their general commercial use. To understand the reason for the extensive application of alternating currents it is necessary to learn the fundamental principles which pertain to them. The production of such currents has already been explained in Arts. 300-304. It should be remembered that the current developed in the armature of a dynamo is alternating. A dynamo may deliver a direct or an alternating current, depending on the method of collecting the current from the armature. If a commutator is used, the machine delivers direct current, if slip rings are employed, an alternating current is delivered.429. The Magnetic Field of an Alternating Current.?The magnetic field of a direct current has been considered in Arts. 255-256. It has been shown to be arranged in circles about the conductor, according to the Right Hand Rule. (See Figs. 229 and 230.) These facts will help one to understand the following experiment:
If a number of magnetic compasses be arranged in a circle about a
straight vertical wire carrying a direct current, the compass needles
will point out a circle about the wire. (See Fig. 430, A.) If now
the current be reversed the compass needles will reverse themselves and
point in a direction just opposite to that taken at first. (See Fig.
430, B.) This will be clear if you imagine yourself walking
around the wire in the direction the compass needles pointed at first,
and then walking around the wire in the reverse direction. This
illustrates what happens in the field of an alternating current. The
field reverses each time the current reverses.
The magnetic field of an alternating current not only rapidly reverses itself, but also continually changes in intensity.
At the instant when the current reverses, the force of the magnetic
field is zero since the current at that instant is zero. As the current
begins flowing and increases[Pg 467]
to its maximum intensity, the magnetic field appears and increases in
intensity; and as the current decreases to zero, the magnetic field
changes in a similar manner. The field as it grows in strength extends
farther and farther from the wire, as it decreases in strength it
contracts or draws closer to the wire. Thus the magnetic field may be
said to expand and contract. We may picture the lines of force as
continually moving. In a typical a.-c. circuit, the complete series of
changes takes place in a small fraction of a second, and is repeated
many times over in a second. Contrast this with the magnetic field of a
constant direct current. Here the magnetic field has the same direction
as long as the current flows and does not change in strength. This
comparison is important because most of the differences between direct
and alternating currents depend on differences in the action of their
magnetic fields.
A coil having several hundred turns of No. 18 d.c.c. copper wire
is placed over one arm of a "U" shaped iron core (see Fig. 431) and then[Pg 468] connected to a 110 volt a.-c. lighting circuit. Another coil (S)
having about 50 turns of No. 22 d.c.c. copper wire is connected to an
electric bell or buzzer, or a low voltage electric light bulb. When the
small coil is held over the other arm of the "U" shaped iron core, the
bell rings or the bulb glows. It is evident that the electromotive force
developed in the small coil (S) is due to the alternating
magnetic field surging back and forth through the iron core. In Fig. 431
the core is "open" since the magnetic field must pass through the air
from one end of the core to the other. A typical transformer has a closed core to provide a closed magnetic circuit.
To secure this, take a suitable bar of iron and lay across the end of
the "U" shaped core, and notice any change in the induced current
produced in the small coil, due to increased movement of magnetism
through the closed iron core.
431. Voltage Relation in a Transformer.?In the experiment described above, a bell was rung by an induced current produced in the secondary coil. The induced e.m.f. was less than the voltage of the primary coil partly because there was some magnetic leakage, but mainly[Pg 469] because there were fewer turns of wire on the secondary. In a commercial transformer the magnetic leakage is practically zero. In such a case, the ratio of the number of turns on the primary coil to the number on the secondary equals the ratio of the e.m.f. induced in the primary to the e.m.f. induced in the secondary. Suppose, for example, we wish to make a bell ringing transformer to use on a 110 volt lighting circuit, 10 volts being required for the bell; the secondary will then need one-eleventh of the number of turns of the primary. So that if 550 turns are on the primary, then 50 turns will be needed for the secondary. This will be a "step-down" transformer. On the other hand, suppose we wish to "step-up" the voltage as is done in a certain power station where the voltage of the generators is 6000 volts, the voltage being stepped up to 44,000 by means of large transformers. This means that the secondary coils have approximately 7-1/3 times as many turns as the primary.
432. Power Loss in a Transformer.?When the voltage is "stepped up" in a transformer, do we gain power? To answer this question we must remember that electric power does not depend on voltage alone but on the product of e.m.f. and current intensity. (See Art. 291.) By tests with a.-c. voltmeters and ammeters, we find that when the secondary e.m.f. is greater than the primary e.m.f., the secondary current intensity is less than that in the primary. It is also found that the power developed is less than the power received by the transformer, i.e., the "output" is less than the "input" as we would expect from the law of machines. The power loss is mainly due to the work required to reverse the magnetism, that is, to continually reverse the position of the iron molecules. (See Art. 205.) The energy lost in this manner is known as "core loss" since it occurs in the[Pg 470] iron core. The lost energy appears as heat. So much heat is developed in large transformers that special means of cooling are provided. In order to make the heat developed as small as possible, the cores are "laminated" (see Fig. 305, p. 346), that is, built up of thin sheets of iron, because if the iron cores were solid, the changing magnetic fields would induce electric currents in the iron cores, which would produce an excessive amount of heat with a correspondingly large power loss.
434. Reactance and Impedance.?A choke coil has resistance as well as inductance. Its resistance can be found by the voltmeter-ammeter method, using a direct current. (See Art. 278.) Let us take for example the primary winding of a bell ringing transformer. Using a direct current and testing the coil with a voltmeter and ammeter we find its resistance to be, let us say, one ohm. If we connect the same coil across a 110 volt a.-c. line we find the current[Pg 473] to be very small, say 0.05 ampere. The coil now has resistance and reactance. Reactance is the effect of self-induction in hindering the flow of current. It is measured in ohms. The combined effect of resistance and reactance is called impedance. In the example above, the coil has 110 (volts)/0.05 (ampere) = 2200 ohms of impedance. In applying Ohm's law to an alternating current circuit, impedance must be substituted for resistance. Ohm's law as applied to an a-c. circuit should be stated: "Current intensity equals e.m.f. divided by impedance", or I = E/Z. (Z = impedance.)
Exercises
1. Find the reactance of a choke coil having a resistance of 10 ohms, when its impedance is 50 ohms. How great a current flows through this coil if the terminal voltage is 110 volts?2. When the bell is ringing, the primary of a bell ringing transformer has an appreciable current. Suppose this current is 0.2 ampere. What is the impedance if the voltage of the line is 115 volts? What is the reactance if the resistance is 1 ohm?
3. The primary of a large transformer has a terminal voltage of 6000 volts and a current of 600 amperes. What is the impedance? If the resistance is 6 ohms, what is the reactance?
436. The action of a condenser in an alternating current circuit may be illustrated by the following experiment. Connect twelve, 1 m.f. (microfarad) condensers, in parallel, and then attach them to a 110 volt a.-c. line so that an[Pg 475] incandescent lamp is in circuit as shown in Fig. 437. The lamp will be found to glow brightly, although there is no electrical connection between the two sets of condenser plates. If the same arrangement is connected to a 110 volt direct current circuit, the lamp does not glow because it is really an open circuit. The lamp glows on an a.-c. circuit because, although no electricity flows through the condenser, it does flow into and out of the condenser, surging back and forth through the lamp with sufficient intensity to cause it to glow brightly. When the a.-c. current moves one way in the circuit, one set of plates of the condensers becomes charged positively, the other, negatively. When the a.-c. current reverses, the charges on the condenser plates reverse. In the ordinary lighting circuit 120 reversals take place each second, so that electricity rapidly flows into and out of the condensers. On removing one condenser after another from the circuit, the lamp is found to glow less and less, till when but one condenser is left, no glowing is observed, since one small condenser does not have sufficient capacity.
[Pg 476]
A condenser, on account of its capacity, causes an a.-c. current to lead the voltage, that is the current reaches its maximum value before the voltage does. In this respect a condenser has an effect opposite to that of the self-induction of a choke coil (the latter causing the current to "lag"). (See Fig. 435.)
437. Transmission of Electric Power.?A field of peculiar usefulness for a.-c. currents is in the economical transmission of electric power. This fact is due to the following reasons: (a) The loss of electrical power in a transmission line is due to the production of heat; the heat produced being proportional to I2R, or to the square of the current intensity. Any lessening of the current flow required to transmit a given power will therefore increase the efficiency of transmission. (b) In order to employ a small current in transmitting a large amount of power, we must use a very high e.m.f. Such high electromotive forces, say from 60,000 to 100,000 volts, can be obtained only by the use of a.-c. transformers, since it is not practicable to build a direct current generator capable of producing 60,000 volts. In large power transmission systems, a.-c. generators are used to produce powerful alternating currents. The e.m.f. is then stepped up to a suitable voltage (2300-100,000) by transformers and sent over transmission lines to the various places where the power is to be used; at these places suitable transformers "step-down" the e.m.f. to a convenient or safe voltage for use. (See Fig. 442 of a transmission line and Fig. 438 of a large power transmission system, and Fig. 439 of an a.-c. generator and power plant.)
438. Power Factor.?The power factor is a matter of interest and importance in the use of a.-c. machines. Its meaning and use may be learned from the following explanation: In a direct current circuit, watts equals[Pg 477]
[Pg 478] volts times amperes. In an alternating current circuit, this equation is true only when the current is "in step" with the voltage, that is, only when there is no inductance or capacity in the circuit. If current and voltage are out of step, i.e., if there is lag or lead (see Fig. 434), the product of volts and amperes gives only the apparent power, the ratio between true and apparent power depending on the amount of lag or lead. This ratio is called the power factor. In an a.-c. circuit, then, the power equation is: watts = volts ? amperes ? power factor, or power factor = true power/apparent power. The product of volts and amperes is the apparent power and is called volt-amperes in distinction from the true power or watts. Therefore the following is true: power factor = true watts/volt-amperes.
439. Single-phase Currents.?There are several kinds of a.-c. currents. One of the most common is the single-phase. It is simply the common a.-c. current used for light and power in the average home, and uses a two-wire circuit around which the current is rapidly alternating. Fig. 440 illustrates the changes of e.m.f. in an a.-c. single-phase current. It may be produced by a single coil rotating in a magnetic field. The curve of Fig. 440 represents one cycle, that is, one complete series of changes in the electromotive forces. At the end of the cycle the armature is in the same condition as at the beginning so far as the magnetic field is concerned. It then begins a new cycle. The ordinary commercial alternating current has a frequency of 60, that is 60 cycles per second. One rotation produces as many cycles as there are pairs of poles. For example, if there are 48 poles in the generator field, one rotation produces 24 cycles.
In practice the synchronous motor has a number of pairs of field poles. It is essentially an alternating current generator running as a motor. One of the principal uses of the synchronous motor is that of a converter, receiving alternating current and delivering direct current. Synchronous motors are also used in transmission lines to aid in maintaining constant voltage.
Important Topics
The wireless telephone, essential parts, action, arrangement.Alternating currents, alternating fields.
Transformers, voltage relation of coils, power and core losses.
Self-induction, inductance, and coke coils, uses, applications.
Impedance, reactance, and resistance; relation and effects.
Condensers, uses and applications with a-c. circuits.
Alternating current power transmission; uses, advantages.
Power factor, lag, lead, volt-amperes, true watts.
Single- and three-phase currents; uses and nature of each.
Three-wire transmission systems, alternators, construction, and action.
A-c. motors, series, induction, synchronous.
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