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A Tutorial on the Decibel

A Tutorial on the Decibel Version Page 1 of 8 A Tutorial on the Decibel This t u t o r ia l c o m b i n es in fo r ma t io n from several a u t ho r s, i n cl u d i ng B o b DeVa r n ey, W 1 ICW; Wa l t er Ba h nz a f, WB 1A NE ; a n d Ward S i lv er, N AX Decibels are part of many questions in the question pools for all three Amateur Radio license classes and are widely used throughout radio and electronics. This Tutorial provides background information on the Decibel and instructions for performing calculations involving decibels. The Quick Explanation The Decibel (dB) is a ratio of two power values. It is computed using logarithms so that very large and small ratios result in numbers that are easy to work with. A positive Decibel value indicates a ratio greater than one and a negative Decibel value indicates a ratio of less than one.

(The natural logarithm written as ln, uses a base value of e, which is 2.71828.) For example, if the number in question is 100, the base value of 10 would have to be raised to the power of 2 2to equal 100. i.e. 10 = 100. Thus, the common logarithm of 100 ... Here are the formulas:

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