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Real world measurements. Measuring things. M aking accurate measurements is an essential part of all branches science and engineering. Much (all?)of our understanding of the world was born from experimental measurements (often ones that disagreed with the current theory).
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Measuring things • Making accurate measurements is an essential part of all branches science and engineering. • Much (all?)of our understanding of the world was born from experimental measurements (often ones that disagreed with the current theory). • Models of systems are useless without validation. • Performance of engineered systems must always be measured and tested. “Experiment is the sole judge of scientific truth” Feynman
Measurements are debated Berkeleyearth.org
Measurements can tell us how the universe is built Michelson-Morley 1887 Large hadron collider
What you will learn (hopefully) • Make a set of physical measurements. • Analyze and present experiment data. • Conduct basic error analysis of data. • Design a basic computer based experimental system. • Use measurements test physical models. This class is just the beginning
Course structure (some details TBD) Spring break
Projects • Projects can focus on • a reasonably challenging sensor/circuit • using commercial sensors and focus on the experiment and the data.
A few things. • This is not an EE course – but many measurements are electronic (all in this course). • Ninjas. • Lab reports – focus mainly on results. • Weekly labs will be individual. • Team project will be in groups of about 4.
Grades – yes we have to give them • Storey conjecture: If you turn everything in on time, come to class, spend a reasonable amount of time on homework, and put forth a reasonable effort, the lowest grade you will receive is a B. • Corollary: You can easily get a C, D, or F by not doing the above mentioned tasks.
Analog to digital conversion What is the sample rate? Our system has a 14 bit ADC, if we set the range to ±10 V, what is resolution?
Resolution 14 bit ADC: 00101011101101 214=16384 numbers Resolution = range/16384 Eg: range is +10 to -10 V; 20/16384=1.2 mV range is +1 to -1 V; 2/16382 = 0.12 mV
Noise What are sources of noise?
Simple voltage divider demo R =5V = R What’s this voltage?
USB 6009 – input impedance i R =5V = i is not 0! R
Generic sensor measurement If R source is small, and Rmeas is big, then you measure Vsensor Otherwise, you might be measuring something else! Sensor Measurement- DAQ
Me V (arb) Time (sec)
EKG The EKG is a powerful diagnostic tool. Regularly used by cardiologists.
Disclaimers • We are not real doctors. Neither are you. Do not try to interpret your EKG.
Safety • We will review this in lab, but basically • 100 K resistors between you and breadboard. • Unplug your laptop while collecting data.
Privacy • Your EKG could be considered private medical information under Federal HIPAA laws. • If using this data makes you at all uncomfortable – then use one of the instructors as your subject.
The circuit AD623 – Instrumentation amplifier
Simplification for op-amp circuit analysis • Assume no current flows into the inputs. • If the op-amp is wired with negative feedback, and other circuit dynamics are “slow” (less than ~100 kHz), then • Then the two input voltages are equal.
The instrumentation amplifier Wikipedia
AD623 Data sheet
Let’s look at the filters now AD623 – Instrumentation amplifier
Linear circuits • Double the input, double the output. • A sinusoidal input results in a sinusoidal output of the same frequency.
How to characterize a linear circuit(at sinusoidal steady state) Your linear circuit • We can fully characterize the system with two parameters: • Magnitude of output/Magnitude of input (B/A) • Phase difference between input and output (theta)
The Bode plot Developed 1930s Published 1945