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Wheatstone Bridge
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The resistor network known as the Wheatstone Bridge is named after Sir Charles Wheatstone, who found many uses for it in and around 1843. He didn t invent, it, though. Samuel Hunter Christie documented this bridge in 1833. The Wheatstone Bridge consists of two voltage dividers, as shown in Fig. 5-19. Typically, one of the dividers has a xed value and provides a reference voltage. The other divider has a variable resistor in it, such as R2.
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CHAPTER 5 Starting with Electronics
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Fig. 5-19.
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Wheatstone Bridge.
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This may be a potentiometer or, more likely, some kind of sensor like a photoresistor, strain gauge, or thermistor (a typical temperature sensor). The output voltage is the di erence of the output of the two voltage dividers: Vout VA VB Expanding from equation (5-8), we get:   R2 R4 Vout Vin R1 R2 R3 R4
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Another use for the Wheatstone Bridge is to measure an unknown resistance. If, for example, R3 was an unknown resistor, we can adjust the calibrated R2 until the output voltage goes to zero. R3 is then equal to: R3 R1 R4 R2 R1 5-10 R2 To get good results, all of the known resistors need to have tight tolerance values to reduce the amount of error in the circuit. R3 R4
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CHAPTER 5 Starting with Electronics RESISTIVE SENSOR
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Try This: This little project will give you some hands-on experience with resistors, voltage, and the Wheatstone Bridge. You will need the various tools and parts listed in Table 5-4 to complete this project.
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Components
There are a few components other than the 10 k resistors. The rst thing you need for any electronics project is electricity. There are many di erent ways to get power to your circuit. You can use a power adapter that you plug into the wall. These power adapters, sometimes called wall warts, come in many di erent sizes, voltages, and current ratings. A more portable solution is to wire a battery into the circuit. You can get battery packs for AA cells, C cells, and even clips for those small calculator and watch batteries. My preferred battery is the 9-volt cell. You can nd clips, as shown in Fig. 5-20, for these 9-volt batteries. Make sure the ends of the wires are long enough and tinned so they are sti enough to push into your breadboard. You may even want to solder a length of solid-core jumper wire to the clip, so it is easy to t into your breadboard.
Table 5-4 Parts
Parts: resistive sensor
R1, R3, R4 R2 R5 J1 BAT
10 k
resistors 100 k
photoresistor 10 k
potentiometer 9-volt battery clip 9-volt battery
Tools Breadboard 24 ga jumper wire Multimeter Small pliers
CHAPTER 5 Starting with Electronics
Figure 5-21 shows two easy to nd variable-resistance sensors. The part on the left is a cadmium sul de (CdS) photoresistor. The part on the right is a thermistor. A photoresistor changes its resistance based on how much light is falling on it. They have typical resistances from 100 k in the dark to about 10 k in bright light. The thermistor changes resistance based on what temperature it is, from about 320 k in an industrial deepfreeze to about 900  in boiling water. We use the photoresistor in this project.
Fig. 5-20.
9-volt battery clip.
Fig. 5-21.
Photoresistor and thermistor.
CHAPTER 5 Starting with Electronics
Fig. 5-22.
Potentiometers.
We shall also need a 10 k potentiometer for this project, to ne-tune the results. These take all sorts of shapes and forms, as shown in Fig. 5-22. The named resistance for a potentiometer is its maximum resistance, The actual resistance of the a third lead depends on the position of the potentiometer s knob. If you want the ability to really ne-tune your circuit, track down a multi-turn potentiometer. Normal potentiometers go from zero to full resistance in less than one turn. For ner control, you can nd versions that take multiple full rotations, as many as ten or even twenty- ve, to cover the same resistance range. These are more expensive but provide better control. You will probably need to solder wires to your potentiometer, unless you can nd a very small trim pot that will plug directly into the breadboard.
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