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# After Class: The Faraday Shield, Binary Notation, Tuning Fork Oscillators, and Power Supply QuizMay 1955 Popular Electronics

 May 1955 Popular Electronics Table of Contents Wax nostalgic about and learn from the history of early electronics. See articles from Popular Electronics, published October 1954 - April 1985. All copyrights are hereby acknowledged.

After Class: The Faraday Shield, Binary Notation, Tuning Fork Oscillators, and Power Supply Quiz

Whether it is simple or complex, basic or advanced, amateur or commercial - every electronic device depends upon the correct combination of resistors and capacitors to help it function according to plan. In this article, some of these combinations are to be investigated with a view to learning something about their behavior in electronic circuits.

Resistors and capacitors are controlling elements which guide and modify electron streams so that the circuit performs as its designer intended it to perform. Although they have vastly different influences in electrical circuits, it is just this difference that makes them so useful when used in combinations that have special jobs to do.

Generally, a resistor does not discriminate between different kinds of current; that is, if a resistor is rated at 1,000 ohms, it offers this resistance to any kind of current, either a.c. or d.c., and, in the case of alternating current, it makes no difference what the frequency of the alternations may be - the resistor still opposes the flow of current to the same extent as it opposes d.c.

A capacitor is a different "breed". It exhibits "selectivity" in its opposition to electricity. A capacitor may be chosen to provide an easy path for alternating current, while at the same time, d.c. is completely blocked. Another way to express this idea is to call a capacitor an open circuit for d.c., but a conductor for a.c. provided that it has sufficient capacitance and that the frequency of the a.c. is high enough.

As one might gather from this statement, the amount of opposition that a capacitor offers to the flow of a.c. depends upon two things: the size of the capacitor and the frequency of the current. An easy way to keep this relationship in mind is to remember that if either the capacitance of the capacitor or the frequency of the a.c. is raised, the opposition is decreased. Since the term "resistance" is reserved for resistors, the influence of a capacitor on the amount of a.c. that flows through the circuit is called the "reactance", but it is measured in ohms just like resistance.

Expressed mathematically, capacitive reactance, XC, in ohms, equals 1/(2πƒC), where ƒ is the frequency in cycles-per second and C is the capacitance in farads or ƒ is in megacycles and C is in micro-farads. This dues not hold true at extremely high frequencies, but it does apply in all ordinary electronic equipment. The exact mathematical computation is not required for a general understanding of the working of simple circuits.

To illustrate the effect of both resistance and capacitive reactance in a practical circuit, consider the diagram. Suppose that a certain electrical generator produces both a.c. and d.c. mixed with each other - a very common situation in electronics. Suppose further that there are two devices which we shall call "loads ", one of which needs pure d.c. to operate properly, while the other requires pure a.c. A resistor and a capacitor properly chosen as to values can separate the a.c. from the d.c. and guide the two different currents along the desired paths. As the mixed currents arrive at point (1) in the circuit, the d.c. "sees" the capacitor as an open circuit through which it cannot flow, so it selects the resistor as its only other alternative path through the circuit; thus, the d.c. passes through the d.c. load. The a.c., upon "looking ahead ", finds an easy path through the capacitor, while the one through the resistor appears to offer much more opposition. Therefore, most of the a.c. chooses the path through the capacitor and the a.c. load. The function of a resistor-capacitor (RC) combination in splitting up a.c. and d.c. and guiding the two different currents through different parts of the circuit is called filtering. Almost every schematic diagram in electronics contains one or more filter circuits in which a resistor and a capacitor are used to discriminate between a.c. and d.c.

The following quiz is intended as a self check. You should be able to answer all of the questions correctly if you have mastered the foregoing text.

Resistor & Capacitor Quiz

1. Which of the two components, a resistor or a capacitor, exhibits changing opposition to the flow of current as the frequency changes?

2. Given a capacitor of 0.01 μfd., which of the following should be used to replace it if the designer wishes to reduce the reactance of the circuit - a 0.1 μfd. or a 0.001 μfd. capacitor?

3. Does the resistance of a resistor rise, fall, or remain the same as the frequency of the current flowing through it rises?

4. Does the phrase "blocking action" describe the functioning of a resistor or a capacitor?

5. What general name is applied to RC combinations used to separate a.c. from d.c.?

Many years after James Clerk Maxwell, the famous 19th Century physicist, proved that magnetic fields are always accompanied by electric fields, engineers in electronics began to struggle with undesirable effects that these force fields create. The struggle is still going on.

The "inseparables," as scientists sometimes term the magnetic and electric fields emanating from coils and wires carrying radio-frequency currents, must be cautiously handled to prevent one circuit from affecting another; otherwise, regenerative coupling, oscillation, and locking-in phenomena may destroy circuit performance. In planning the layout of radio receivers and similar gear, account is taken of these fields by enclosing coils in metal shield boxes or otherwise isolating them by means of aluminum, copper, or steel plates. The shielding metal is placed so that the fields are confined to the immediate vicinity of the coil.

At first glance, one might wonder how an aluminum shield can could prevent an electromagnetic field from penetrating it. It is common knowledge that iron and steel, being magnetic materials, are highly permeable and serve as good "conductors" for magnetic lines of force. Thus, when the lines impinge upon an iron shield can, they keep to the path of least resistance and follow the contours of the can. This keeps them from "getting out." Aluminum is non-magnetic, but it is a good electrical conductor; this characteristic enables it to arrest a magnetic field in an entirely different manner. Moving lines of force passing through aluminum induce eddy currents in the can. (These are random currents which represent a serious loss of energy which must be supplied by the field.) As the field loses its energy in the generation of eddy currents, it has little or no strength left to penetrate the metal and so remains within the confines of the shield.

An electric field terminates as soon as its lines of force encounter a good conducting surface. Hence, an aluminum or copper shield can prevents the "escape" of both kinds of fields, magnetic fields by eddy current losses and electric fields by conductive termination.

Suppose one wishes to make a shield which confines the electric field of a coil but permits the magnetic field unhampered passage. This problem is a serious one in metal locators where the capacitance of the ground to the search coil must be eliminated while the magnetic flux of the coil must be allowed to penetrate the ground. Solid plate shielding, or even screen mesh, between the coil and the ground is out of the question because of eddy current losses. The aim is to provide metal for the electric field termination without having eddy currents in the metal.

This objective is nicely achieved by using a Faraday shield. As illustrated, this kind of shield is fabricated by gluing parallel wires to a cardboard sheet, spacing the wires apart by a distance equal to about two wire diameters. After the glue has set, a bare copper wire or strip is soldered across the rows at right angles; the assembly is then run to the common ground of the equipment.

A Faraday shield provides metal conductors to terminate electric lines of force while it offers no closed loops through which eddy currents can flow, so that magnetic fields penetrate it with no trouble.

Binary Notation

A digital computer handles the manipulation of numbers by means of relays, lamps, and tubes which can rest in only one of two possible states: "on" or "off." Each of these states can, at best, represent a single digit so that only two different digits can be indicated by a single relay or tube, one for the "on" condition and the second for the "off" state. Our normal decimal system contains ten different digits (1, 2, 3, 4, 5, 6, 7, 8, 9, and 0). Fortunately, there is a numbering system that is just right for digital computers - the binary method of notation. By adhering to simple rules, any number may be written with only two digits: 1 and 0.

To illustrate, a string of "2's" raised to successively increasing powers (from right to left) is written across the page. 28 27 26 25 24 23 22 21 20 (256) (128) (64) (32) (16) (8) (4) (2) (1)

According to the rules of arithmetic, any number raised to the zero power, like 20, is equal to one, so we have written (1) under 20. Two raised to the first power (21) is 2, two raised to the second power is 4 (22 = 4), two raised to the third power is 8 (23 = 8), and so on. Using only the digits 1 and 0 we can write a number, say the number 28, by placing either 1 or 0 under the appropriate members of the string. The rule here is that the member of the string is to be counted or added in when 1 appears under it and is to be ignored when 0 appears under it as in the example below (writing the number 28):

This is really ...

Thus, in binary notation the number 28 is written 11100.

A second example should aid in clarifying this procedure. The number 49 is written 110001. In your mind, place these digits under the members of the string starting at the right. This gives 1 + 16 + 32 = 49. Note that the "0's" under 21, 22, and 23 were instructions to ignore these numbers and to exclude them from the addition.

Suppose that a computer has somewhere along its progression of indicators, a bank of 9 lights upon which has just appeared a number in binary notation as shown in the illustration. The digit 1 is signified by a lighted lamp while 0 is indicated by an extinguished lamp. What number is it?

Here, the computer answer bank has given the binary number 101001110 or the sum of 256, 64, 8, 4, and 2, to yield 334.

To increase the range or the size of the numbers, all that need be done is increase the length of the string going left toward larger and larger powers of 2. Although this may seem an uneconomical use of lamps and relays, it does enable great accuracy and reliability to be obtained from equipment which is a combination of simple elements.

Tuning Fork Oscillators

According to some of our best engineers, particularly those engaged in work involving multiplex communication systems, the venerable tuning fork is still the most stable generator of sine waves that has ever been designed. Multiplexing is a system of communication in which several messages may be sent simultaneously via a single radio-frequency channel. Unless the frequency standards of the multiplex network are rigidly stable, erratic performance is to be expected. One of the greatest transcontinental and transoceanic communications companies in the world relies almost exclusively upon electrically driven tuning forks to maintain its multiplex functioning perfectly the year round.

An ordinary tuning fork has a natural frequency of vibration which depends upon its physical structure (mass, length of tines, etc.). When the fork is coupled to an oscillatory circuit like that shown in the figure, it becomes the "tank" circuit and is kept vibrating at constant amplitude by the interchange of magnetic effects in the electromagnetic coils.

As in the explanation of any other oscillator, we begin by assuming that power has been applied and a steady plate current is flowing in the triode. Any chance vibration or tremor or variation in the plate current moves the tine adjacent to the coils toward or away from them. Assume that the movement is toward the coils. As the mass of iron approaches the magnetic core, the flux between the poles is altered ever so slightly, causing an induced voltage across the grid coil winding. The polarity of the induced voltage is such that, as it is applied between grid and ground, it charges the plate current in the triode amplifier to produce further movement of the tine in the same direction as it started.

When the tine has reached the limit of its swing, it reverses its motion and begins to move away from the electromagnet. As it does so, the induced voltage is in a direction which diminishes the magnetic pull and permits the fork to move away.

Each succeeding cycle of vibration has just the tiniest bit more amplitude by virtue of the feedback from the amplifier tube. This continues until a balance is reached and the fork vibrates with constant amplitude at its natural frequency. This gradual build-up of amplitude may be watched on the screen of an oscilloscope; as one watches, the height of the waves slowly increases over a period of several minutes until the oscillation becomes stabilized.

Power Supply Quiz

1. The ripple frequency of a full-wave rectifier operating on a 60-cycle power line is: (a) 30 cycles-per second; (b) 60 cycles-per-second; (c) 120 cycles-per-second.

2. A resistor connected across a filter capacitor for the purpose of discharging the capacitor after the power is turned off is known as a: (a) damper; (b) quencher; (c) bleeder.

3. The output voltage of the rectifier circuit shown in Fig. 1 is approximately: (a) 110 volts; (b) 155 volts; (c) 310 volts.

4. As compared with a choke input filter, a capacitor-input filter will provide: (a) more output voltage; (b) less output voltage.

5. As compared with a choke-input filter, a capacitor-input filter will provide: (a) better regulation; (b) poorer regulation.

6. If the iron core of a filter choke becomes saturated: (a) the inductance will increase; (b) the inductance will decrease; (c) the inductance will remain the same.

7. The no-load output of a power supply is 200 volts. Under full-load conditions, the output drops to 180 volts. The percentage of regulation is: (a) 20 %; (b) 10%; (c) 5 %.

8. The cathode of a rectifier tube should be brought up to operating temperature before the plate voltage is applied: (a) when the rectifier is a mercury vapor type; (b) when the rectifier is a vacuum type with two diodes in one envelope; (c) when the rectifier is a vacuum type with a metal rather than a glass envelope.

9. The inverse peak voltage rating of a rectifier tube should be at least equal to: (a) the r.m.s. value of the a.c. input; (b) the peak value of the a.c. input; (c) twice the peak value of the a.c. input.

10. The type of filter capacitor used most commonly in the power supplies of radio receivers is: (a) electrolytic; (b) mica; (c) paper. Answers are given at bottom of page. Ten correct is excellent; nine correct, very good; eight correct, good; seven correct, fair; and six or less, poor.

p. 130

"After Class" Topics

 Resistor and Capacitor Combinations - June 1955 Crystals - April 1960  Alternating Current Principles - December 1954 Grounds, Grounds, and Grounded - August 1959 Power Transformers - August 1955 Special Information on Radio, TV, Radar and Nucleonics - November 1957  Working with Selenium Rectifiers - September 1957 The Faraday Shield, Binary Notation, Tuning Fork Oscillators, and Power Supply Quiz - May 1955 Using Load Lines - January 1956 Explaining Tuned Circuits - May 1961 Working with Phase-Shift Oscillators - December 1958 Some Facts on Quartz Crystals - January 1957 Speaking of Magnetism - Part 1 - August 1958 Speaking of Magnetism - Part 2 - October 1958  What Is a Servomechanism? - April 1959 Subatomic Footprints - September 1956 Using Inductors - December 1957 Working with Thermistors - November 1956

Resistor-Capacitor Circuit Quiz

1. Capacitor.

2. 0.1 μfd.

3. Remains the same.

4. Capacitor. 5. Filter circuits.

Power Supply Quiz

1. c

2. c

3. c

4. a

5. b

6. b

7. b

8. a

9. c

10. a

Posted August 30, 2019