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# The sound level at a point is increased by 30 decibels. By what factor is the amplitude increased ?

Jan 2, 2018

Since 30 decibels is 3 lots of 10 decibels, the amplitude is increased by 3 factors of 10, or ${10}^{3} = 1000$.
In general, an increase of $n$ decibels indicates an increase in amplitude by a factor of ${10}^{\frac{n}{10}}$.