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Wheatstone Bridge

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Example<br />

Consider using a <strong>Wheatstone</strong> bridge having R 1 = 200 Ω and R 2 = 2000 Ω to measure a<br />

resistance, R m , of a temperature sensor. Suppose the resistance of the temperature sensor, R m ,<br />

in Ω, is related to the temperature T, in °C, by the equation<br />

R = 1500 + 25T<br />

m<br />

The temperature is expected to vary over the range 0 to 100 °C. Over what range must R 3 vary<br />

in order for the bridge to measure temperature over the range 0 to 100 °C?<br />

Solution:<br />

Solve equation 6 for R 3 :<br />

When T = 0 °C, Ω and 1500 R =<br />

m<br />

When T = 100 °C, ( )<br />

m<br />

2<br />

R1<br />

R3 = Rm<br />

(7)<br />

R<br />

R1<br />

200<br />

R3= Rm=<br />

1500 = 150 Ω<br />

R 2000<br />

R = 1500 + 25 100 = 4000 Ω and<br />

R1<br />

200<br />

R3= Rm=<br />

4000 = 400 Ω<br />

R 2000<br />

2<br />

R 3 could be implemented as a 150 Ω resistor in series with a 250 Ω potentiometer:<br />

2<br />

3

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