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Sound power in terms of decibels
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The above formula can be worked inside-out, so that you can determine the final sound power, given the initial sound power and the decibel change. Suppose the initial sound power is P, and the change in decibels is dB. Let Q be the final sound power. Then Q = P antilog (dB/10). As an example, suppose the initial power, P, is 10 W, and the change is 3 dB. Then the final power, Q, is Q = 10 antilog ( 3/10) = 10 0.5 = 5 W.
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A typical volume control potentiometer might have a resistance range such that you can adjust the level over about plus/minus 80 dB. The audio taper ensures that the decibel increase or decrease is a straightforward function of the rotation of the shaft. Sound levels are sometimes specified in decibels relative to the threshold of hearing, or the lowest possible volume a person can detect in a quiet room, assuming their hearing is normal. This threshold is assigned the value 0 dB. Other sound levels can then be quantified, as a number of decibels such as 30 dB or 75 dB.
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The rheostat 109 If a certain noise is given a loudness of 30 dB, it means it s 30 dB above the threshold of hearing, or 1,000 times as loud as the quietest detectable noise. A noise at 60 dB is 1,000,000 times as powerful as the threshold of hearing. Sound level meters are used to determine the dB levels of various noises and acoustic environments. A typical conversation might be at a level of about 70 dB. This is 10,000,000 times the threshold of hearing, in terms of actual sound power. The roar of the crowd at a rock concert might be 90 dB, or 1,000,000,000 times the threshold of hearing. A sound at 100 dB, typical of the music at a large rock concert, is 10,000,000,000 times as loud, in terms of power, as a sound at the threshold of hearing. If you are sitting in the front row, and if it s a loud band, your ears might get wallopped with peaks of 110 dB. That is 100 billion times the minimum sound power you can detect in a quiet room.
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The rheostat
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A variable resistor can be made from a wirewound element, rather than a solid strip of material. This is called a rheostat. A rheostat can have either a rotary control or a sliding control. This depends on whether the nichrome wire is wound around a doughnut-shaped form (toroid) or a cylindrical form (solenoid). Rheostats always have inductance, as well as resistance. They share the advantages and disadvantages of fixed wirewound resistors. A rheostat is not continuously adjustable, as a potentiometer is. This is because the movable contact slides along from turn to turn of the wire coil. The smallest possible increment is the resistance in one turn of the coil. The rheostat resistance therefore adjusts in a series of little jumps. Rheostats are used in high-voltage, high-power applications. A good example is in a variable-voltage power supply. This kind of supply uses a transformer that steps up the voltage from the 117-V utility mains, and diodes to change the ac to dc. The rheostat can be placed between the utility outlet and the transformer (Fig. 6-11). This results in a variable voltage at the power-supply output. A potentiometer would be destroyed instantly in this application.
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6-11
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Connection of a rheostat in a variable-voltage power supply.
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110 Resistors
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