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Industrial Instrumentation

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INDUSTRIAL

INSTRUMENTATION
Lecturer: Nguyen Duc Hoang
Department of Control & Automation
Faculty of Electrical & Electronics Engineering
Ho Chi Minh City University of Technology
Email: ndhoang@hcmut.edu.vn
Chapter 5: Methods to measure
fundamental quantities
• Measurement of resistance
• Measurement of capacitance
• Measurement of inductance
• Measurement of frequency
Measurement of resistance
• Sensors based on the variation of the electric resistance of a device
are very common:
• POTENTIOMETERS
• STRAIN GAGES
• THERMISTORS, RTD
• MAGNETORESISTORS
• LIGHT-DEPENDENT RESISTORS
• RESISTIVE HYGROMETERS
• RESISTIVE GAS SENSORS
• LIQUID CONDUCTIVITY SENSORS
Measurement of resistance
• The general equation for a sensor whose resistance changes by a
fraction x in response to a measurand is :

Assuming :
• For linear sensors we have:

• The range of values for x depends strongly on the type of sensor and
on the measurand span
Measurement of resistance
• There are two requirements for all conditioners for
resistive sensors:
• they must drive the sensor with an electric voltage or current in
order to obtain an output signal,
• this supply, whose magnitude affects that of the output signal,
is limited by sensor self-heating,
Measurement of resistance
• Some sensors require particular circuits.
• Thermistors require linearization.
• Strain gages require interference cancellation.
• Sensors that yield small outputs require large gains in order for
the dynamic range of the output signal to match the input
range of the ADC .
• Conditioners for remote sensors must be insensitive to
connecting lead resistance or compensate for it.
Measurement of resistance

remote sensors
Measurement of resistance
• Methods for resistance measurement can be
classified into:
• Deflection methods sense the drop in voltage across the
resistance to be measured or the current through it or
both.
• Null methods are based on measurement bridges.
Measurement of resistance
• Deflection method (1)

𝑉𝑟
𝑉 0= 𝑅0 ( 1+ 𝑥 )
𝑅𝑟
Measurement of resistance
• Deflection method (2)

𝑉0
𝑅=𝑅𝑟
𝑉𝑟
Measurement of resistance
• Voltage dividers :
• commonly used to measure high-value resistances.
Measurement of resistance

Example: The MGS1100 CO gas sensor (Motorola) has 1000 kΩ in air,


from 30 k Ω to 300 k Ω (150 k Ω typical) for CO concentration of 60ppm
(R60) , and a ratio R60/R400 = 2,5 (typical). If the allowable voltage across
the sensing resistor and power dissipation in it are 5 V and 1mW, design a
voltage divider for such a sensor if the expected CO concentration range
is from 0 to 400ppm.
Measurement of resistance
• Wheatstone bridge : balance measurements
Measurement of resistance
• Wheatstone bridge: deflection measurements
Problems
• A given Pt100 has R = 100 and  = 6 mW/K when immersed in air and  = 100 mW/K when
immersed in still water. Calculate the maximal current through the sensor to keep the self-heating
error below 0.10C.
A bridge circuit has R1 = R2 = R3 = R4 = 120Ohm resistances and a 10.0-V supply. Suppose a 3-1/2
digit DVM on a 200-mV scale will be used for the null detector. Find the resistance resolution for
measurements of R4.
BT5

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