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The s Variable: Euler’s Relation and Phasor Expressions of Waveforms

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A powerful mathematical concept useful for analyzing practically any…

Practical Measures of Reliability

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In reliability engineering, it is important to be able to quantity the…

Legal Code

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Creative Commons Attribution 4.0 International Public License By…

Phasors, Phase Shift and Phasor Algebra

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Phasors are to AC circuit quantities as polarity is to DC circuit…

Transfer Function Analysis

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An extremely important topic in engineering is that of transfer…

Problem-solving by Simplification

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A whole class of problem-solving techniques focuses on altering the…

Transmitter Damping Adjustments

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The vast majority of modern process transmitters (both analog and…

Analog Electronic PID Controllers

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Constructing PID control systems using discrete components is a…

Thermocouple Types, Junctions, Connector and Tip Styles

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RTDs are completely passive sensing elements, requiring the…

Thermistors and Resistance Temperature Detectors (RTDs)

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One of the simplest classes of temperature sensor is one where…

Elementary Thermodynamics

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Thermodynamics is the study of heat, temperature, and their related…

Design-based Fortifications

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A design-based fortification is one rooted in technical details of…

Indicators, Recorders, Process Switches and Alarms

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So far we have just looked at instruments that sense, control, and…

Basics of Electrical Current

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Current is the name we give to the motion of electric charges from a…

Level Sensor Accessories

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Disturbances in the liquid tend to complicate liquid level…

Common Educational Fallacies

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When I began teaching full-time in 1998, most of what I thought I…

Flow Measurement in Open Channels

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Measuring the flow rate of liquid through an open channel is not…

Continuous Float Level Transmitters

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Perhaps the simplest form of solid or liquid level measurement is with…

Level Switches

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A level switch is one detecting the level of liquid or solid (granules…

EIA/TIA-232, 422, and 485 Networks

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Some of the simplest types of digital communication networks found in…

On/off Control (Bang-bang Control)

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Once while working as an instrument technician in an aluminum foundry,…

Analog Electronic PID Controllers

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Constructing PID control systems using discrete components is a…

National Institute of Standards and Technology (NIST) Traceability

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As defined previously, calibration means the comparison and adjustment…

Radiation Level Measurement

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Certain types of nuclear radiation easily penetrates the walls of…

P, I, and D Responses Graphed

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Visualizing the actions of P, I, and D tuning parameters using graphs…

Atomic Theory and Chemical Symbols

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The three “elementary” particles of matter comprising all…

On/off Electric Motor Control Circuits

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An electric motor is often used as a discrete control element in a…

Physics and Chemistry Terminology and Definitions

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Atom: the smallest unit of matter that may be isolated by chemical…

Sliding-stem Valves

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A sliding-stem valve body is one where the moving parts slide with a…

Derivative (Rate) Control

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The final element of PID control is the “D” term, which…

Different PID Equations

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For better or worse, there are no fewer than three different forms of…

Colorimetric and Potentiometric pH Measurement

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pH is the measurement of the hydrogen ion activity in a liquid…

The Difference Between Series and Parallel Circuits

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In addition to Ohm’s Law, we have a set of rules describing how…

Symbolic Versus Numerical Calculus

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Calculus has a reputation for being difficult to learn, and with good…

Use of Line Reactors

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Regulating the electric power sent to an electric motor is a task…

Logic Programming in PLCs

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Although it seems each model of PLC has its own idiosyncratic standard…

Instrument Identification Tags

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Up until this point, we have explored various types of instrumentation…

DC Motor Speed Control

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DC electric motors generate torque by a reaction between two magnetic…

The Concept of Differentiation

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Suppose we wished to measure the rate of propane gas flow through a…

Applications of Spectroscopy for Analytical Measurement

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Much of our knowledge about atomic structure comes from experimental…

Digital PID Algorithms

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Instrument technicians should not have to concern themselves over the…

Wastewater Disinfection Example

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The final step in treating wastewater before releasing it into the…

Vibration Monitoring Hardware

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The following photograph shows a large air blower in a wastewater…

Using Manometers for Measuring Pressure

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A very simple device used to measure pressure is the manometer: a…

Auxiliary and Lockout (86) Relays

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An important type of “accessory” relay, especially for…

Fundamental Principles of Industrial Instrumentation

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Shown here is a partial listing of principles applied in the subject…

Feedforward Control

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“Feedforward” is a rather under-used control strategy…

Analysis of Practical Pneumatic Instruments

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To better understand the design and operation of self-balancing…

Self-balancing Pneumatic Instruments Principles

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A great many precision instruments use the principle of balance to…