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Audio Gadgets:  Math Help

Decibel conversions

Joules

Decibel conversions

Slew Rate

AC Power

Ohms Law

This page is a mixed bag of loose audio ends that all require a good deal of math. Decibel conversions are covered, as are joules, slew rate, current needed to charge a capacitor at a certain slew rate, AC power calculations, and DC power calculations (all 12 variations of Ohms law).

Decibel Conversions
The Decibel is a mathematical construct that allows the electrical engineer to compress the huge potential dynamic range of music signal reproduction into an easier to use format. Audio Gadgets converts straight gain into dB's or dB's into straight gain. Positively and negatively.

Joules
The Joule is a unit of work and energy. 1 joule is equal to 1 coulomb between two points 1 volt apart. The charge held in a power supply capacitor represents so many joules, so much potential work or energy. The formula for computing joules looks like the one for kinetic energy: J=2V²C.

Slew Rate
Slew Rate refers to the ability of an amplifier to swing so much voltage in so much time. The voltage is measured in volts and the time is measured in micro-seconds (µs), which gives us the final "v/µs" suffix.

AC Power Calculations
AC stands for alternating current. Peak and RMS calculations

DC Power Calculations (Ohm's Law)
Ohm's law: the voltage across an of a DC circuit is equal to the current in amperes through the element, multiplied by the resistance of the element in ohms. Twelve formulas cover all the variations on Ohm's law and are grouped into four headings: Voltage, Current, Power, Resistance.








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