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amount of current flowing through the circuit). It is important to remember that the equivalent resistance will always be less than the value of the lowest resistance. The general case formula given in Fig. 5-6 probably seems very cumbersome but is quite elegant when applied to two resistors in parallel. The equivalent resistance is calculated using: Requivalent = (R1 R2) / (R1 + R2) Whew! This is all there is to it with regards to basic electronics. The diagrams have all been placed in the following to allow you to photocopy them, study while you have a free moment, and pin up over your workbench so you always have them handy.
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The most basic component that you will be working with is the wire. There are essentially two types that you should be aware of: solid core and multi-stranded. Solid core wire is exactly what is implied: there is a single conductor within the insulation. Multi-strand wire consists of many small strands of wire, each carrying a fraction of the total current passed through the wire. Solid core wire is best for high current applications, while multi-stranded wire is best for situations where the wire will change shape because the thin strands bend more easily than one large one. It should not surprise you that the thicker the conductor within the wire, the more current it can carry. Wires must not be overloaded or their internal resistance will cause the wire to overheat, potentially melting the insulation and causing a fire. Table 5-1 lists different American wire gauge (AWG) wire sizes and their specified current-carrying capacity. As a rule of thumb you should halve the amount of current you pass through these different size wires the current specified in Table 5-1 is the maximum amount of current with a 20 C increase in temperature. By carrying half this amount, there will be minimal heating and power loss within the wires.
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TABLE 5-1 Single Conductor Wire Current-Carrying Capacity MAXIMUM CURRENT-CARRYING CAPACITY 36 Amps 27 Amps 19 Amps 15 Amps 10 Amps 8 Amps 2 Amps TYPICAL APPLICATION Large Motor Power/Robot Battery Large Motor Power Medium Motor Power Medium Motor Power Logic Power, Small Motor Power Logic Power, Small Motor Power Wire Wrapping/Small Signals
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CONDUCTOR SIZE 12 AWG 14 AWG 16 AWG 18 AWG 20 AWG 22 AWG 30 AWG
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Along with the size of the conductor and the amount of current it can carry, a plethora of different options are available when choosing wire for a specific application. There are a variety of ways of providing multiple conductors (each one separated from each other to allow multiple signals or voltage to pass through them) in a single wire; there are different insulations for different applications and different methods of molding the wires so they can be attached to different connectors easily. Many books this size and larger detail the options regarding wiring for different applications. As you start out with your robot applications, try to use 20 AWG single conductor, multi-stranded wiring for everything (buy it in several colors, including black and red so you can easily determine what is the wire s function). As you build larger robots and understand the electrical requirements of the different parts, you can start experimenting with wire sizes and connecting systems.
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A fixed resistor supplies a predetermined resistance to a circuit. The standard unit of value of a resistor is the ohm (with units in volts per ampere, according to Ohm s law), represented by the symbol . The higher the ohm value, the more resistance the component provides to the circuit. The value on most fixed resistors is identified by color coding, as shown in Fig. 5-7. The color coding starts near the edge of the resistor and comprises four, five, and sometimes six bands of different colors. Most off-the-shelf resistors for hobby projects use standard four-band color coding. The values of each band are listed in Table 5-2, and the formula for determining the resistance from the bands is: Resistance = ((Band 1 Color Value 10) + (Band 2 Color Value)) 10Band 3 Color Value ohms If you are not sure what the resistance is for a particular resistor, use a digital multimeter to check it. Position the test leads on either end of the resistor. If the meter is not autorang-
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FIGURE 5-7 Resistors use color coding to denote their value. Start from the color band nearest the end. Most resistors have four bands: three for the value and one for the tolerance.
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