If the output voltage, Vo = 0, the bridge is said to be in balance. You can verify that when the bridge is balanced, out R_R₂ R₂ R₂ 2 The resistive bridge can be used to measure the value of an unknown resistor (e.g. R) by fixing the values of resistors R, and R, and then adjusting resistor R, using a "decade box" found in the laboratory until the bridge is in balance. Then, R₂ R₂R₂ R₂

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Derive the equations below by using the given circuits:

R₁ R₂
R₂ R₂
2
R₂
a) Resistance measurement
+
Vs
R₂R₂
R₂
R
R₂
Resistor box
+
out
Potentiometer
Rx
b) Strain gauge measurement
+
Vs
R
vi
R₂
+
Vou
Figure 6: Resistive Wheatstone bridge
If the output voltage, Vo = 0, the bridge is said to be in balance. You can verify that when the bridge is balanced,
out
out
Strain gauge
Rx
The resistive bridge can be used to measure the value of an unknown resistor (e.g. R ) by fixing the values of
resistors R, and R, and then adjusting resistor R, using a “decade box" found in the laboratory until the bridge is in
balance. Then,
(6a)
(6b)
Transcribed Image Text:R₁ R₂ R₂ R₂ 2 R₂ a) Resistance measurement + Vs R₂R₂ R₂ R R₂ Resistor box + out Potentiometer Rx b) Strain gauge measurement + Vs R vi R₂ + Vou Figure 6: Resistive Wheatstone bridge If the output voltage, Vo = 0, the bridge is said to be in balance. You can verify that when the bridge is balanced, out out Strain gauge Rx The resistive bridge can be used to measure the value of an unknown resistor (e.g. R ) by fixing the values of resistors R, and R, and then adjusting resistor R, using a “decade box" found in the laboratory until the bridge is in balance. Then, (6a) (6b)
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