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CHAPTER 2 Electric Current. Ohm s Law
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If the tube contains a metal conductor, like a copper wire, the current will consist of a ow of electrons; but if the tube contains, instead, a liquid conductor of some type the current may consist of a ow of positive ions. Now suppose we detect that the tube is getting hot, and also that a compass needle shows the presence of a magnetic eld around the tube. These external e ects tell us that an electric current is owing in the conductor inside the tube. But we cannot, from these two external tests, tell whether the current is a ow of electrons or a ow of positive ions. Since, in a given situation, electrons and positive ions ow in opposite directions, it follows that these two external tests (temperature and compass needle) will not tell us what the actual direction of current ow is. This means that, in the mathematical analysis of electric networks, it will not be necessary to take into account whether a given current is a ow of positive charge or negative charge, because the useful external e ects are the same in either case. Hence, for the purposes of analysis, we can just as well assume that all currents consist of a ow of positive charge; therefore, for the sake of simplicity it will hereafter be assumed in this book that all currents consist of a ow of POSITIVE charge.* Problem 6 1 coulomb of negative charge contains how many electrons Problem 7 If 9 million electrons cross area A in Fig. 15 in 0.1 microsecond, what is the average current in amperes during that time
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We must keep in mind that energy has to be expended, that is, WORK must be done, to force the carriers of electric charge to move in a conductor. With this in mind, we begin this section with a simple but very basic discussion, starting with Fig. 16.
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Fig. 16
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In Fig. 16 we have two metal plates, the top plate being positively charged and the bottom plate negatively charged, as shown. A small positive test charge, if placed between the two plates, would experience a downward force, showing that an electric eld exists in the region between the two plates. We must remember that work had to be done to separate the positive and negative charges, and that the work, so done, is now stored as potential energy in the electric eld
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* Sometimes referred to as the ow of conventional current.
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CHAPTER 2 Electric Current. Ohm s Law
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between the plates. A certain potential di erence, expressed in terms of V volts, exists between the two plates. Let us now close the switch in Fig. 16. When this is done, there will be a brief, momentary ow of charge through the light bulb, the ow continuing until both plates are electrically neutral that is, until the potential di erence between them is reduced to zero. In this action the light bulb will emit a brief ash of light, showing that the energy stored in the electric eld is being converted into heat energy and radiant energy in the form of visible light. Let us now suppose, in Fig. 16, that we are not satis ed with just a brief ash of light, but wish the light to burn continuously and uniformly. To do this, we must maintain a constant rate of ow of charge of q coulombs per second through the bulb; that is, we must maintain a constant current of i amperes in the bulb. This, however, can be done only if we CONTINUOUSLY SUPPLY THE WORK REQUIRED TO MOVE THE POSITIVE CHARGES FROM THE NEGATIVE PLATE TO THE POSITIVE PLATE, against the internal eld that exists between the positive and negative plates. This is illustrated in Fig. 17, in which just a side view of the positive and negative plates is shown.
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