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38 3 Physical Principles <strong>of</strong> Sensing<br />

This chapter examines various physical effects that can be used for a direct conversion<br />

<strong>of</strong> stimuli into electric signals. Because all such effects are based on fundamental<br />

principles <strong>of</strong> physics, we briefly review these principles from the standpoint <strong>of</strong> sensor<br />

technologies.<br />

3.1 Electric Charges, Fields, and Potentials<br />

There is a well-known phenomenon to those who live in dry climates—the possibility<br />

<strong>of</strong> the generation <strong>of</strong> sparks by friction involved in walking across the carpet. This<br />

is a result <strong>of</strong> the so-called triboelectric effect, 1 which is a process <strong>of</strong> an electric<br />

charge separation due to object movements, friction <strong>of</strong> clothing fibers, air turbulence,<br />

atmosphere electricity, and so forth. There are two kinds <strong>of</strong> charge. Like charges<br />

repel each other and the unlike charges attract each other. Benjamin Franklin (1706–<br />

1790), among his other remarkable achievements, was the first American physicist.<br />

He named one charge negative and the other positive. These names have remained to<br />

this day. He conducted an elegant experiment with a kite flying in a thunderstorm to<br />

prove that the atmospheric electricity is <strong>of</strong> the same kind as produced by friction. In<br />

doing the experiment, Franklin was extremely lucky, as several Europeans who were<br />

trying to repeat his test were severely injured by the lightning and one was killed.<br />

Atriboelectric effect is a result <strong>of</strong> a mechanical charge redistribution. For instance,<br />

rubbing a glass rod with silk strips electrons from the surface <strong>of</strong> the rod, thus leaving<br />

an abundance <strong>of</strong> positive charges (i.e., giving the rod a positive charge). It should<br />

be noted that the electric charge is conserved: It is neither created nor destroyed.<br />

Electric charges can be only moved from one place to another. Giving negative charge<br />

means taking electrons from one object and placing them onto another (charging it<br />

negatively). The object which loses some amount <strong>of</strong> electrons is said gets a positive<br />

charge.<br />

A triboelectric effect influences an extremely small number <strong>of</strong> electrons as compared<br />

with the total electronic charge in an object. The actual amount <strong>of</strong> charges<br />

in any object is very large. To illustrate this, let us consider the total number<br />

<strong>of</strong> electrons in a U.S. copper penny 2 [1]. The coin weighs 3.1 g; therefore, it<br />

can be shown that the total number <strong>of</strong> atoms in it is about 2.9 × 10 22 . A copper<br />

atom has a positive nuclear charge <strong>of</strong> 4.6 × 10 −18 C and the same electronic<br />

charge <strong>of</strong> the opposite polarity. A combined charge <strong>of</strong> all electrons in a penny is<br />

q = (4.6 × 10 −18 C/atom)(2.9 × 10 22 atoms) = 1.3 × 10 5 C, a very large charge indeed.<br />

This electronic charge from a single copper penny may generate a sufficient<br />

current <strong>of</strong> 0.91 A to operate a 100-W light bulb for 40 h.<br />

With respect to electric charges, there are three kinds <strong>of</strong> material: conductors,<br />

isolators, and semiconductors. In conductors, electric charges (electrons) are free to<br />

move through the material, whereas in isolators, they are not. Although there is no<br />

1 The prefix tribo means “pertinent to friction.”<br />

2 Currently, the U.S. pennies are just copper-plated zinc alloy, but before 1982 they were<br />

made <strong>of</strong> copper.

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