vb.net barcode reader sdk Capacitance in Software

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CHAPTER 10 Capacitance
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Fig. 10-16. Capacitor and your speaker.
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Many speaker wires have a bare wire wrapped around an insulated central wire. This bare wire is typically the ground wire. When wiring the capacitor in series, use the signal wire. If you can t tell which is which, try both. Use di erent capacitor sizes, such a 0.1 mf, 1 mf, 10 mf, and even larger if you can nd them. The exact values don t matter, so a 4.7 mf is just as interesting as a 1 mf capacitor. Note how the smaller capacitors let higher frequencies through, while the larger capacitors favor the lower frequencies. Note also the di erence when the capacitor is in parallel. When you are done, you should put everything back together the way you found it. Twist the wires together if you cut them and, for bonus points, solder them together. Use electrical tape to insulate the junction and it s as good as new, though twice as ugly.
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Capacitor Networks
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Resistors had rules to describe the behavior of two or more resistors in series or in parallel. Capacitors have similar rules. In fact, the rules are the same but the meanings are reversed. For two or more capacitors in series (Fig. 10-17) the capacitance is reduced: 1 1 1 1 C1 C2 CN For two capacitors, this reduces to: C C C1 C2 C1 C2 10-5
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10-6
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Capacitance
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Fig. 10-17.
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Series capacitors.
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Fig. 10-18.
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Parallel capacitors.
Capacitors in parallel (Fig. 10-18) increase the capacitance: C C1 C2 C3 10-7
RC CIRCUITS
Remember as we run through these circuits that when you apply voltage to a capacitor, it charges up while at the same time pushing on the electrons across the dielectric. When that voltage is removed, the capacitor holds the charge. If a circuit is then made between the capacitor s electrodes, the electrons on both sides of the dielectric try to achieve balance and the capacitor discharges. Note that none of these operations are instantaneous. Everything takes time. And this time delay is an important part of how we use the capacitor in electronic circuits. A resistor added to a capacitor slows down the capacitor s reaction. Together they are an RC network. Carefully choosing the values for the resistor and capacitor, you can ne-tune the network so that it responds to the desired frequencies.
Charging and discharging
RC circuits are characterized by a time constant. This time constant is represented by the Greek letter  (tau):  R C 10-8
CHAPTER 10 Capacitance
Fig. 10-19.
Capacitor voltage over time.
Resistance R is in ohms and capacitance C is in farads, with time in seconds. A circuit with a 1 k resistor and a 1 mf capacitor has a time constant of 1 second. The time constant represents the amount of time it takes for the RC circuit to charge or discharge. If the capacitor is full, it takes (2  ) seconds to charge or discharge (Fig. 10-19). The cuto frequency of an RC circuit is described by equation (10-9). The cuto frequency is the frequency where the RC circuit stops being e ective. What this means depends on the type of circuit. 1 10-9 2  R C This relationship of time to frequency was rst seen at the top of this chapter in equation (10-1). A charged capacitor discharges its voltage V0 over time according to equation (10-10), which is re ected in the falling curve of Fig. 10-19: fc 10-10 e The voltage over time of an RC circuit being charged with a voltage Vin is that same equation turned upside-down: Vt Vin e Vin t= R C 10-11 Vt V0 t= R C
RC FILTERS
RC networks can make simple lters. A lter is a circuit that lets through some AC signals but not others. Filters vary in their e ectiveness. Simple
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