unit

decibel

A logarithmic unit used to express the ratio of two values, often power or intensity.
8 related articles

Description

The decibel (dB) is a logarithmic unit that expresses the ratio of two quantities, typically power or intensity. It is widely used in acoustics, electronics, and telecommunications because it can represent huge ranges of values (e.g., from the faintest sound to the loudest) in a compact, manageable scale. A decibel is one-tenth of a bel, named after Alexander Graham Bell. The unit is dimensionless, as it always compares a value to a reference level, such as 20 micropascals for sound pressure or 1 milliwatt for electrical power.

History

The bel was introduced by engineers at Bell Telephone Laboratories in the 1920s to measure signal loss in telephone lines. The decibel became the standard unit in the 1930s, and its use expanded to acoustics and other fields.

How it works

The decibel is defined as 10 times the base-10 logarithm of the ratio of two powers: dB = 10 log10(P1/P2). For field quantities like voltage or sound pressure, the formula becomes 20 log10(A1/A2), because power is proportional to the square of the amplitude. This logarithmic scale means that an increase of 10 dB corresponds to a tenfold increase in power, and an increase of 20 dB corresponds to a hundredfold increase. The human ear perceives loudness roughly logarithmically, so the decibel scale aligns well with subjective hearing.

In practice

Decibels are used everywhere: to specify sound levels (e.g., a whisper at 30 dB, a rock concert at 120 dB), to measure signal gains and losses in audio equipment and fiber optics, and to express antenna gains and noise figures in wireless communications.

Fun fact

A sound that is 10 dB louder is perceived as roughly twice as loud to human ears, even though it carries 10 times the acoustic power.

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