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CHAPTER 5 Starting with Electronics
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Table 5-3 Color Black Brown Red Orange Yellow Green Blue Violet Gray White Resistor color code Digit 0 1 2 3 4 5 6 7 8 9 Multiplier 1 10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 not used
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electrons meet resistance, they don t ow as easily through it. This creates a reduced electrical pressure downstream from the resistor. The more resistance given to a current, the higher the voltage di erence. The traditional description of Ohm s Law is that a potential di erence of 1 volt will push a current of 1 amp through 1 ohm of resistance.
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CHAPTER 5 Starting with Electronics
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Di erent permutations of this equation give di erent ways of looking at the circuit. V 5-2 R Equation (5-2) says that for a given voltage, the smaller the resistance the more current can ow through it. Or it could say that for a given resistor, a higher voltage can push more current through it. I V 5-3 I Equation (5-3) is the third form, for completeness. It shows how you calculate resistance using the voltage across the resistor and a known current ow. R
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It is a rare circuit that has just one resistor in it. You will usually have several resistors in di erent con gurations in the circuit. How do you calculate the overall resistance of these circuits First, why would you want to calculate the resistance of a resistor network Because if you know the resistance of a circuit and the voltage it is operating at, both of which are usually known values, you can calculate the current consumed by the circuit using equation (5-2). Knowing how much current a circuit needs, you can decide what kind of power supply it needs as well as how much power, typically released as heat, it is going to use. The power consumption of a circuit, in watts, is determined by equation (5-4). For the second form of the equation, we replace V with its Ohm s Law equivalent I R: P I V P I2 R 5-4
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A small di erence in current can make a big di erence in power consumption. The calculation of resistance depends on how the resistors are wired together.
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When devices are in series, it means that they are connected end-toend, as shown in Fig. 5-16. Resistors in series add together to make a
CHAPTER 5 Starting with Electronics
Fig. 5-16.
Series resistors.
Fig. 5-17.
Parallel resistors.
larger resistor: R R1 R2 R3 5-5
Parallel network
When devices are in parallel, they are connected side-by-side, as shown in Fig. 5-17. Because current has more than one path through the circuit, there is less resistance in a parallel circuit than in one of the resistors in the circuit. For two resistors, the total resistance is: R R1 R2 R1 R2 5-6
If there are more than two resistors, the general calculation is: R 1 1 1 1 R1 R2 RN 5-7
Voltage divider
One application of a resistor network is as a voltage divider, shown in Fig. 5-18. When a voltage is applied across this network, the output voltage
CHAPTER 5 Starting with Electronics
Fig. 5-18.
Voltage divider.
at the point between the two resistors is a controlled fraction of the input voltage:   R2 5-8 Vout Vin R1 R2 If one of the resistors, such as R2, isn t xed but is allowed to change in value, the output voltage will change from some high value to nearly zero depending on the setting. This can then be used as a control value, such as a volume control, or provide the result from an input sensor. A potentiometer, or variable resistor, is often used as a resistor bridge to provide control for electronic devices. On schematics these can be abbreviated pot or labeled trim for trim potentiometers that are used to adjust a circuit.
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