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AET Study Group Notes: DC Basics – Matter is anything that occupies space and has weight. An element is a substance that cannot be reduced to a simpler substance by chemical means. A compound is a chemical combination of elements that can be separated by chemical means but not physical means. The Periodic Table identifies all currently-known elements. An atom is the smallest form of matter. An atom consists of subatomic particles that cannot exist separately. Protons and Neutrons are contained within the nucleus of the atom. Protons hold a positive charge while Neutrons have a neutral charge. Neutrons are the ‘glue’ that holds the protons in the nucleus. Electrons orbit the nucleus (analogy of our solar system) in energy levels or ‘shells’. Electrons hold a negative charge. In an atom that is said to be ‘balanced’, there are an equal number of protons and electrons. If an atom loses electrons or gains electrons as a result of electron exchange, it is said to be ‘ionized’. An atom with more than the normal amount of electrons has a greater negative charge (more electrons than protons) so it is considered to be a negative ion. Conversely, an atom with less than the normal amount of electrons has a greater positive charge (more protons than electrons) so it is considered to be a positive ion. The number of electrons each shell can hold is 2n2. The outermost shell is called the ‘valence’ shell. This is the shell that determines how well electricity can flow. The Valence shell can hold a maximum of 8 electrons only. The total number of electrons an atom has is called its atomic number. Atomic numbers are referenced in the Periodic Table. Elements with few valence electrons (1-2) are considered good conductors of electricity because that one electron can easily be forced out of the valence shell of one atom and into one of the seven empty holes in the next atom. Elements with half-full valence shells (4) are not good conductors because it is not easy to force four electrons out of the valence shell of one atom into the four empty holes in the valence shell of the next atom. This would require more force so these elements are considered to be ‘semi-conductors’. A force is needed to move the electrons in the valence shell from one atom to another. This force produces a charge and is called an electro-motive force or EMF which is commonly referred to as voltage. EMF is commonly represented in electrical circuit with the letter E. The unit of measure for EMF is volts and is referenced with the letter V. When working with a wide range of measurements such as volts and other electronic device measurements, prefixes are frequently used to express very large or very small numbers in a more manageable way. For example, 1000 volts can be referred to as a kilovolt or kV. Likewise, a fraction of a volt, say 1,000th of a volt, can be referred to as a millivolt or mV. The best analogy here is to think of this in terms of computer memory. Computer memory starts with a byte. 1,000 bytes is a kilobyte, 1,000,000 bytes is a Megabyte or Mb, next is 1,000,000,000 (one billion) bytes (or 1,000 Megabytes) is a Gigabyte or Gb. 1,000,000,000,000 (one trillion) bytes (or 1,000 Gigabytes) would be a terabyte or Tb. Here is a list of the commonly used prefixes for large and small numbers Pico – one billionth (1/1,000,000,000) Micro – one millionth (1/1,000,000) Milli – one thousandth (1/1,000) Kilo – one thousand Mega – one million Giga – one billion Terra – one trillion Converting numbers between these prefix values is as simple as moving the decimal place of a number three spots for every prefix unit It is common to see voltage measurements converted and referred to using these prefixes. A voltage measurement of .067 volts would be referred to as 67 millivolts. In an atom with a natural or neutral state, there will be the proper amount of electrons and there will be an equal number of protons and electrons If the atom is disturbed and electrons are removed, there will be more protons than electrons so the atom will have a positive charge If this atom comes in close proximity to a material with a negative charge (more electrons than proton), the charges will neutralize between the two atoms In a material that is a good conductor, a charge can be created in the material using a force but when the force is removed, the charged atoms neutralize themselves because the material is a good conductor and electrons flow easily among the valence shells of the atoms In a material that is an insulator, such as the rubber on the soles of a shoe and carpet, friction causes a disruption of the atoms’ charges and because electrons can’t easily distribute themselves in insulators, the charge in the material is held until it comes in close proximity to an opposite charge like a metal door handle When that happens, the charges neutralize by the transfer of electrons until the charges are equal This phenomenon is called static electricity Coulomb’s Law of Charges states that “charged bodies attract or repel each other with a force that is directly proportional to the product of their individual charges and is inversely proportional to the square of the distance between them” This means that the two factors that determine the force with which static electricity will dissipate is the amount of charge in the two bodies and the distance between them The greater the charge built up in the bodies, the greater the static electricity force will be… “directly proportional to the product of their individual charges ” The shorter the distance between the two bodies, the greater the static electricity force will be… “inversely proportional to the square of the distance between them” Magnetism – To understand the principles of electricity, it is important to understand magnetism and how it affects electrical equipment Many types of electronics rely on magnetism: 1. 2. 3. 4. 5. 6. Memory storage devices Computer hard-drives Speakers Motors Generators Alternators Magnetism is defined as the property of a material that enables it to attract iron Metals that are relatively easy to magnetize are called ferromagnetic Iron, Steel, and Cobalt are ferromagnetic Magnets are made from special iron or steel alloys and are magnetized electrically Magnetization involves inserting the material into a coil of wire and passing a heavy flow of electrons through the wire Magnets are classified as permanent or temporary depending on their ability to retain their magnetic properties after the magnetizing force has been removed Hardened steel and certain alloys that retain their magnetism are considered permanent magnets Permanent magnets are difficult to produce because the materials natural properties oppose the lines of force trying to magnetize it This opposition is called reluctance and permanent magnets are said to have a high reluctance Materials with low reluctance, such as soft iron, will retain only a small portion of the magnetism and are called temporary magnets High or low reluctance is one characteristic of magnetic materials; another is called permeability Permeability refers to the ease with which magnetic lines of force distribute themselves throughout the material Permanent magnets produced from materials with high reluctance have low permeability, meaning the lines of force do not easily distribute themselves throughout the material, but once they are distributed, the material will hold the lines of force, hence holding the magnetism Conversely, temporary magnets are produced from material with low reluctance and have high permeability meaning the lines of force easily distribute themselves throughout the material. Since the lines of force were easily distributed, they can easily dissipate; hence the material does not hold its magnetism The lines of force have a tendency to concentrate at the ends of the material and be weaker in the middle This is much like the earth. In fact, the earth is a magnet, with poles that have a greater concentration of lines of force than at the middle Magnets have been used in navigation for centuries A magnetized material will have a tendency to align itself to the north and south poles of the earth if it is suspended and can freely move with little resistance such as hanging from a string or floating on a liquid The Law of Magnetic Poles states that like poles repel each other and opposite poles attract each other Understanding how magnetism works and the properties of the earth’s magnetic field has led to the development of modern navigation systems that can determine an aircraft’s heading much more accurately than a wet compass (also referred to as a “whiskey compass”) The space surrounding a magnet is called a magnetic field and is the area where magnetic forces act Magnetic lines of force exist in this area and have the following characteristics: 1. Magnetic lines of force are continuous and will always form closed loops 2. Magnetic lines of force will never cross one another 3. Magnetic lines of force pass through all materials, both magnetic and non-magnetic There are three types of magnetic effects: 1. Magnetic Flux – the total number of magnetic lines of force leaving or entering the pole of a magnet 2. Field Intensity – intensity of a magnetic field is directly related to the magnetic force exerted by the field 3. Attraction/Repulsion – the intensity of attraction or repulsion between magnetic poles may be described by a law similar to Coulomb’s Law of Charged Bodies: The force between two poles is directly proportional to the product of the pole strengths and inversely proportional to the square of the distance between the poles Magnetic Induction Any material placed in the area surrounding a magnet has lines of force passing through the material When the lines of force pass through the material, those lines of force act upon the material and if the material is permeable, it becomes a temporary magnet; somewhat weaker than the original magnet though When removed from the magnetic field, the lines of force in the material now dissipate and the material loses its magnetism This is the theory of operation for relays and solenoids – a magnetic field is generated around a permeable material creating a temporary magnet that “pulls” an electrical contact to open/close a circuit When the magnetic field is removed, the temporary magnet can no longer hold the attraction and the electrical contact is released to its normal “resting” position Magnetic Shapes Magnets are categorized into three basic shapes: bar magnets, horseshoe magnets, and ring magnets Bar magnets are typically used in laboratories to study and better understand magnetism and its effects Ring magnets are typically used in computer memory devices and to shield electrical instruments form stray magnetism The most frequently used magnet used in electrical and electronic equipment is the horseshoe magnet Horseshoe magnets are very similar to bar magnets, only they are bent to form a horseshoe shape This brings the poles closer to each other and generates a greater magnetic strength Electrical Charges – There are two types of voltage – Direct Current (DC) and Alternating Current (AC) Direct current has a constant current with electrons flowing in only one direction Alternating current continuously reverses the polarity of the electrical charges to generate an oscillating effect There are six general means of producing EMF: magnets, friction, pressure, heat, light, and chemical action 1. Magnets have a natural positive and negative charge that attracts and repels electrons. Placing a magnet near a conductor can ‘force’ the electrons to move but the magnet or the conductor must be in motion to produce the electricity. An electromagnet works on the opposite principle of using an electrical charge to generate a magnetic field. This is how a solenoid or relay operates 2. Friction builds up a charge (think static electricity or lightning) but is difficult to harness or control. By rubbing certain materials together, electrons can be forced to move leaving atoms with either an abundance of electrons in its valence shell (positively charged) or missing electrons in their valence shell (negatively charged). When this happens, the electrical charge is built up until becomes close enough to a material with an opposite charge that it can ‘arc’ through the air and the electrons from the positively charged atoms jump over to the negatively charged atoms. 3. Electricity can be produced by applying pressure to the surface of crystals such as quartz. Applying pressure to one surface creates opposing charges on opposite surfaces. This is called the piezoelectric effect. Alternating the pressure (or vibrating the crystal) will produce alternating current which is commonly used in microphones, oscillators, radio receivers, radio transmitters, and sonar equipment. 4. Electricity produced by heat is called thermoelectric voltage and is generated by heating one end of a metal rod. Depending on the type of metal, the electrons will move either away from or toward the heated end. This rod would be considered a thermocouple and is typically used in measuring temperature by monitoring the voltage produced by the metal rod. In most metals, including copper, electrons move away from the hot end toward the cooler end. Some metals, such as iron, the opposite takes place; electrons move from the cool end toward the hot end. 5. Light has energy so when it hits the substance, it can dislodge the electrons on the surface, thereby creating an electrical charge. This is called photoelectric voltage. Metals tend to be more ‘photosensitive’ and are more susceptible to electron movement when hit by light. Silver oxide and copper oxide are two compounds that are common used to create ‘photoelectric cells’, also referred to as solar cells because the sun produces the most powerful photoelectric energy and is a form of natural energy. 6. Chemical energy is produced when two dissimilar substances (commonly metals) are immersed in a solution that creates a greater chemical action on one substance than the other. This creates a difference of potential, or a positive charge on one substance and a negative charge on the other. Connecting a conductor between the two substances allows the electrons to flow, thereby creating a current flow. Chemical action can be accomplished using either ‘wet cells’ like lead-acid batteries or ‘dry-cells’ like nickel-cadmium (NiCd) or nickel-metal-hydride (NiMH) batteries. These dry-cells are not actually dry; rather, the substances are immersed in an electrolyte mixed with other materials to forma paste. A voltage source is a device which is capable of supplying and maintaining voltage To be a practical source of voltage, the potential difference cannot be allowed to dissipate – when one electron leaves, another must be supplied to take its place Electrons will flow out of the negatively charged area due to the Electro-Motive Force ‘pushing’ the electrons away from the positively charged area This is why electricity (or electron flow) is said to ‘flow from negative to positive’ The volume of electrons flowing across the atoms is used to determine current Current is commonly represented in a circuit by the letter I Current is measured in Amperes which is represented by the letter A 1 ampere of current flow equals one coulomb of electrons passing a point in one second when an EMF of 1 volt is applied A Coulomb is equivalent to 6.24 x 1018 electrons This means that just one volt is all that is needed to push 6.24 x 1018 electrons past a point in a circuit in one second Scientific Notation is used to express large numbers like this to a more manageable number that is easier to write, understand, and reference The first number is called the coefficient and is the number that will be multiplied to create the much larger number 10 is called the base – this number will be multiplied by itself a certain number of times before being multiplied by the coefficient 18 is the exponent which is the number of times the base will be multiplied by itself before being multiplied by the coefficient If the EMF increases, the resulting current flow will also increase; therefore, voltage (EMF) and current are directly proportional in an electrical circuit Resistance is the opposition to the flow of electrons and is represented by the letter R Resistance is measured in ohms which is represented by the Greek letter Omega A resistor is made of a semi-conductor substance that limits electron flow Conductors also exhibit a small amount of resistance This resistance is very small and varies based on material type, cross-sectional area, length, and temperature Because resistance in conductors is so small, it is typically considered negligible and not factored into circuit calculations In an electrical circuit, an increase in resistance slows the flow of current while a decrease in resistance allows more electrons to flow freely This means current and resistance are inversely proportional in an electrical circuit A simple DC Circuit consists of a voltage source (typically a battery), a load (resistance), and the conductors that connect them If there were no load resistance in the circuit, electrons would be able to flow freely from the negative lead of the power source to the positive lead without being slowed This high rate of electron flow would quickly produce substantial heat to the point the conductors would burn or the battery would heat up and catch on fire Some type of load is necessary to prevent this thermal breakdown of the circuit The simplest form of an electrical circuit is a battery connected to a lamp The lamp serves as the resistive load and the battery is the voltage source In most circuits, it is undesirable to have it operate at all times so a control mechanism is often used The simplest type of control mechanism is a simple switch A switch will have a center node which is connected to the part of the circuit that will always be used such as the voltage source Sometimes the voltage source will be switched between two different parts of the circuit or the switch could be used to simply open the circuit by connecting nothing to the normally closed contact and connecting the load to the normally open node When the switch is turned “ON”, current is allowed to flow through the circuit and illuminate the lamp DC Circuit Calculations – It is important to understand the relationship of voltage, current, and resistance in a circuit and to know how to calculate each The basis for this is called Ohm’s Law Ohm’s Law states that the current in a circuit is directly proportional to the applied voltage and inversely proportional to the circuit resistance This can be expressed as a formula: I = E / R where I represents current measured in amps, E represents voltage measured in volts, and R represents resistance measured in ohms Using Ohm’s Law, if two quantities are known, the third can be determined using simple algebra An example would be if a 1.5V battery were connected to a lamp that has 5 ohms of resistance, we can substitute the appropriate values and calculate the current. I = 1.5 / 5 or 0.3 amps The formula for Ohm’s Law can be restructured using basic algebra principles to be able to easily calculate voltage if current and resistance are known (E = I * R), or to calculate resistance if voltage and current are known (R = E / I) Another concept that must be understood is power Power is the rate at which work is being done When an EMF forces electrons to move, work is being done The basic unit of measurement for power is the watt Power is represented by the letter P and the formula for power is P = I * E When determining power, voltage (E) and current (I) must be known If only voltage (E) and resistance (R) are given, Ohm’s Law can be used to determine current (I), then the Power Formula can be used to determine Power (P) A power rating of a device, such as a lamp or electronic circuit, is sometimes given as a watt rating An example would be a light bulb which might have a power rating of 40W, 60W, 75W, 100W, or 150W This power rating indicates the rate at which the device converts electrical energy into another form of energy such as light, heat, or motion Examples: Light bulbs convert electrical energy to light energy An oven or electric heater converts electrical energy to thermal energy An electric motor converts electrical energy to mechanical energy In applied avionics (systems engineering), the power of avionics equipment is typically specified and the equipment may be able to operate at different voltages In this case, as voltage varies and power remains constant, the current will vary with the voltage It is important to determine current to ensure the current-carrying capacitor of the conductor is not exceeded as this could result in overheating and ultimately a fire