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17. As an inductor core material, air (a) has excellent efficiency. (b) has high permeability. (c) allows large inductance to exist in a small volume. (d) has permeability that can vary over a wide range. 18. At a frequency of 400 Hz, which is in the AF range, the most likely form for an inductor would be (a) air-core. (b) solenoidal. (c) toroidal. (d) transmission-line. 19. At a frequency of 95.7 MHz, which is in the frequency-modulation (FM) broadcast band and is considered part of the very high frequency (VHF) radio spectrum, a good form for an inductor would be (a) air-core. (b) pot core. (c) either (a) or (b). (d) neither (a) nor (b). 20. A transmission-line inductor made from coaxial cable having velocity factor of 0.66 and working at 450 MHz, which is in the ultrahigh frequency (UHF) radio spectrum, should, in order to measure less than 1 4 electrical wavelength, be cut shorter than (a) 16.7 m. (b) 11 m. (c) 16.7 cm. (d) 11 cm.
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CHAPTER
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Capacitance
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ELECTRICAL COMPONENTS CAN OPPOSE THE FLOW OF AC IN THREE WAYS, TWO OF WHICH YOU VE
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learned about. Resistance slows the flow of ac or dc charge carriers (usually electrons) by brute force. Inductance impedes the flow of ac charge carriers by temporarily storing the energy as a magnetic field. Capacitance, about which you ll learn in this chapter, impedes the flow of ac charge carriers by temporarily storing the energy as an electric field.
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The Property of Capacitance
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Imagine two huge, flat sheets of metal that are excellent electrical conductors. Suppose they are each the size of the state of Nebraska, and are placed one over the other, separated by only 1 foot of space. If these two sheets of metal are connected to the terminals of a battery, as shown in Fig. 11-1, they will become charged electrically, one positively and the other negatively. If the plates were small, they would both become charged almost instantly, attaining a relative voltage equal to the voltage of the battery. But because the plates are gigantic, it will take a little time for the negative plate to reach full negative potential, and an equal time for the other plate to reach full positive potential. Eventually, the voltage between the two plates will equal the battery voltage,
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11-1 A hypothetical gigantic capacitor.
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176 Capacitance
11-2 Relative electric field
intensity between metal plates connected to a voltage source, as a function of time.
and an electric field will exist in the space between the plates. This electric field will be small at first, because the plates don t charge up right away. But the charge will increase over a period of time, depending on how large the plates are, and also depending on how far apart they are. Figure 11-2 is a relative graph showing the intensity of the electric field between the plates as a function of time, elapsed from the instant the plates are connected to the battery terminals. Energy will be stored in this electric field. The ability of the plates, and of the space between them, to store this energy is the property of capacitance. As a quantity or variable, capacitance is denoted by the uppercase italic letter C.
Practical Capacitors
It s out of the question to make a capacitor of the preceding dimensions. But two sheets, or strips, of foil can be placed one on top of the other, separated by a thin, nonconducting sheet such as paper, and then the whole assembly can be rolled up to get a large effective surface area. When this is done, the electric flux becomes great enough so that the device exhibits significant capacitance. Alternatively, two sets of several plates each can be meshed together with air in between them, and the resulting capacitance is significant at high ac frequencies. In a capacitor, the electric flux concentration is multiplied when a dielectric of a certain type is placed between the plates. This increases the effective surface area of the plates, so that a physically small component can be made to have a large capacitance. The voltage that a capacitor can handle depends on the thickness of the metal sheets or strips, on the spacing between them, and on the type of dielectric used. In general, capacitance is directly proportional to the surface area of the conducting plates or sheets. Capacitance is inversely proportional to the separation between conducting sheets. In other words, the closer the sheets are to each other, the greater the capacitance. The capacitance also de-
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