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CHAPTER 1 Electric Charge and Electric Field
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Either way, the body, which was neutral to begin with, ends up as a negatively charged body. Again, it is important to note that, as far as the nal result is concerned in any such single experiment, it makes no di erence whether we assume that negative charge ows into the body or positive charge ows out of the body. However, in order that our mathematical equations be consistent, and that our notation always mean the same thing, we must select one standard procedure and then stick with that procedure or convention. Hence, except for any special cases where we might say otherwise, let us now agree to use the following conventions when dealing with charged bodies and movement of charge. 1. 2. 3. A positively charged body is one having an EXCESS of positive charge. A negatively charged body is one having a DEFICIENCY of positive charge. Only POSITIVE CHARGE is free to move or ow.
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As a rst illustration of these conventions, consider the insulated, positively charged body A in Fig. 5. Notice that the switch (SW) is open, which prevents any movement of charge along the copper wire.
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If the switch is now closed, as in Fig. 6, positive charge commences to ow from body A to the neural earth as shown by the arrow in Fig. 6. Charge continues to ow until body A becomes electrically neutral with respect to the earth, at which time charge then ceases to ow. Or, consider the insulated negatively charged body B in Fig. 7. If the switch is now closed (Fig. 8), positive charge commences to ow from the earth to the body B as shown by the arrow in the gure. Charge continues to ow until body B becomes electrically neutral, at which time charge ceases to ow. It should be remembered that the earth is an electrically neutral body containing, for all practical purposes, an unlimited supply of equal positive and negative charges.
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CHAPTER 1 Electric Charge and Electric Field
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As another example, consider Fig. 9, which shows a body A positively charged and a body B negatively charged, both bodies being insulated from the earth in this example.
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Fig. 9
For discussion purposes, suppose body A contains an excess of 100 units of positive charge and body B contains a de ciency of 20 units of positive charge. Notice that the two bodies together have a combined excess positive charge of 80 units. If the switch is now closed, positive charge will ow from body A to body B until both bodies have an excess of positive charge. Thus, assuming A and B to be identical aluminum balls, charge will cease to ow through the copper wire when both balls have an excess positive charge of 40 units each. As a nal example, consider bodies A and B in Fig. 10. We ll assume they are identical aluminum balls.
Fig. 10
Notice that both bodies are shown as negatively charged; that is, both bodies have a de ciency of positive charge. Just for discussion purposes, let s assume that body A has a de ciency of 80 units of positive charge, body B has a de ciency of 30 units of positive charge. Note that the two bodies have a combined total de ciency of 110 units of positive charge.* What happens when the switch in Fig. 10 is closed To answer this, we must keep in mind that a negatively charged body simply does not have enough positive charge to completely neutralize the negative charge. For practical purposes, however, any large material body, such as a copper penny, a glass rod, and so on, has an inexhaustible or unlimited supply of both positive and negative charges (see footnote). All we can do is merely upset the balance of charge, positive or negative, either side of the neutral charge
* It may be helpful to understand that from a practical standpoint it is impossible for us to drain anywhere near all the positive or negative charges from a body of any ordinary size; any such body, for practical purposes, contains an unlimited supply of positive and negative charges. Take, for example, two ordinary copper pennies. IF we could withdraw all the positive charge from one of the pennies and all the negative charge from the other, the two pennies would then have unlike charges and would thus attract each other. Calculation shows that if the two pennies were ONE MILE APART the force of attraction between them would be over SIX BILLION TONS. The point we wish to make is that while bodies A and B above have less positive charge than negative charge, each still possesses an enormous amount of positive charge. It is only when we deal with individual atoms or molecules that we can have complete or nearly complete charge removal.
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