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MOTION MOUNTAIN

LIGHT, CHARGES AND BRAINS - Motion Mountain

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22 1 electricity and fields<br />

F I G U R E 8 A simple set-up to<br />

confirm electric charge<br />

conservation: if rubbed fur is<br />

moved from the first pot to the<br />

second, the charge taken away<br />

from the first pot is transferred to<br />

the second, as shown by the two<br />

electrometers (© Wolfgang<br />

Rueckner).<br />

In summary, electric fields start at bodies, provided they are charged. Charging can<br />

be achieved by rubbing and other processes.There are two types of charge, negative and<br />

positive. Charge can flow: it is then called an electric current. The worst conductors of<br />

current are polymers; they are calledinsulators ordielectrics. A charge put on an insulator<br />

remains at the place where it was put. In contrast, metals are good conductors; a charge<br />

placed on a conductor spreads all over its surface. The best conductors are silver and<br />

copper.This is the reason that at present, after two hundred years of use of electricity, the<br />

highest concentration of copper in the world is below the surface of Manhattan. Charges<br />

can flow through air if the electric field is strong enough; this is a spark or, when the<br />

spark is large, a lightning bolt.<br />

Electric charge<br />

Because all experiments with electric charge can be explained by calling the two charges<br />

positive and negative, we deduce that some bodies have more, and some less charge than<br />

an uncharged,neutral body. Electric charges thus only flow when two differently charged<br />

bodies are brought into contact. Now, if charge can flow and accumulate, we must be able<br />

to somehow measure its amount. Obviously, the amount of electric charge on a body,<br />

usually abbreviatedq, must be defined via the influence the body, say a piece of sawdust,<br />

feels when subjected to a field. Charge is thus defined by comparing it to a standard<br />

reference charge. For a charged body of massmaccelerated in a field, its chargeqis<br />

determined by the relation<br />

q<br />

= dp/dt<br />

q ref dp ref /dt , (1)<br />

i.e., by comparing its momentum change with the momentum change of the reference<br />

charge. Charge thus determines the motion of bodies in electric fields in the same way<br />

that mass determines the motion of bodies in gravitational fields. Charge is therefore the<br />

second intrinsic property of bodies that we discover in our walk.<br />

In practice, electric charge is measured with electrometers. A few such devices are<br />

Motion Mountain – The Adventure of Physics copyright © Christoph Schiller June 1990–November 2015 free pdf file available at www.motionmountain.net

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