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Capacitors in parallel
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Capacitances in parallel add like resistances in series. That is, the total capacitance is the sum of the individual component values. Again, you need to be sure that you use the same size units all the way through. If two or more capacitors are connected in parallel, and one of the components is much, much larger than any of the others, the total capacitance can be taken as simply the value of the biggest one.
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Problem 11-4
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Three capacitors are in parallel, having values of C1 0.100 F, C2, C3 0.00100 F, as shown in Fig. 11-4. What is the total capacitance 0.0100 F, and
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11-4 Capacitors in parallel.
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Just add them up: C 0.100 0.0100 0.00100 0. 111000. Because the values are given to three significant figures, the final answer should be stated as C 0.111 F.
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Problem 11-5
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Two capacitors are in parallel, one with a value of 100 F and one with a value of 100 pF. What is the effective total capacitance
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204 Capacitance In this case, without even doing any calculations, you can say that the total is 100 F for practical purposes. The 100-pF unit is only a millionth of the capacitance of the 100- F component; therefore, the smaller capacitor contributes essentially nothing to the composite total.
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Dielectric materials
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Just as certain solids can be placed within a coil to increase the inductance, materials exist that can be sandwiched in between the plates of a capacitor to increase the capacitance. The substance between the plates is called the dielectric of the capacitor. Air works quite well as a dielectric. It has almost no loss. But it is difficult to get very much capacitance using air as the dielectric. Some solid material is usually employed as the dielectric for most fixed capacitors, that is, for types manufactured to have a constant, unchangeable value of capacitance. Dielectric materials conduct electric fields well, but they are not good conductors of electric currents. In fact, the materials are known as good insulators. Solid dielectrics increase the capacitance for a given surface area and spacing of the plates. Solid dielectrics also allow the plates to be rolled up, squashed, and placed very close together (Fig. 11-5). Both of these act to increase the capacitance per unit volume, allowing reasonable capacitances to exist in a small volume.
11-5 Foil sheets can be rolled up with dielectric material sandwiched in between.
Paper capacitors
In the early days of radio, capacitors were commonly made by placing paper, soaked with mineral oil, between two strips of foil, rolling the assembly up, attaching wire leads to the two pieces of foil, and enclosing the rolled-up foil and paper in a cylindrical case.
Ceramic capacitors 205 These capacitors can still sometimes be found in electronic equipment. They have values ranging from about 0.001 F to 0.1 F, and can handle low to moderate voltages, usually up to about 1000 V.
Mica capacitors
When you were a child, you might have seen mica, a naturally occurring, transparent substance that flakes off in thin sheets. This material makes an excellent dielectric for capacitors. Mica capacitors can be made by alternately stacking metal sheets and layers of mica, or by applying silver ink to the sheets of mica. The metal sheets are wired together into two meshed sets, forming the two terminals of the capacitor. This scheme is shown in Fig. 11-6.
11-6 Meshing of plates to increase capacitance.
Mica capacitors have low loss; that is, they waste very little power as heat, provided their voltage rating is not exceeded. Voltage ratings can be up to several thousand volts if thick sheets of mica are used. But mica capacitors tend to be large physically in proportion to their capacitance. The main application for mica capacitors is in radio receivers and transmitters. Their capacitances are a little lower than those of paper capacitors, ranging from a few tens of picofarads up to about 0.05 F.
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