October 1931 QST
Table of Contents
Wax nostalgic about and learn from the history of early electronics. See articles
from ARRL's
QST, published December 1915  present. All copyrights hereby acknowledged.

In 1931, QST reader John H. Miller, Electrical Engineer,
of the Jewell Electrical Instrument Company, wrote to the editor regarding the story "What Is This Thing Called Decibel?,"
by James L McLaughlin and James J. Lamb, which appeared in the August issue of that year. Mr. Miller
wished to inform (or remind) readers that the American Wire Gauge system for assigning sizes to wire
crosssection ratios closely follows a decibel (i.e., logarithmic) relationship. Applying his information:
A 28 AWG solid wire has a crosssection of 160 circular mils, so at 3 sizes larger, 25 AWG should be
320 circular mils. In fact, it is 320 circular mils (see table on the
Copper Wire Properties & Gauge Conversions page).
The Decibel: AWG Wire Size Rule of Thumb
Editor, QST:
I have read with much interest the article in the August issue of QST entitled, "What Is This Thing Called Decibel?"
The writer's picture of the decibel may be of some interest, and is based on wire table ratios.
The B & S gauge, which is universally used for copper wire, very closely approaches the decibel
ratio as regards area or cross section and consequent resistance. A change of ten decibels either multiplies
or divides the power by ten, depending whether it is up or down; a decrease of ten sizes in the wire
table multiplies the cross section or divides the resistance by ten. An increase of ten sizes does the
reverse.
A threedecibel change doubles or halves the power, and a change in three sizes of wire doubles or
halves the cross section and the resistance changes also by a factor of two.
Engineers who are accustomed to working with copper wire have these ratios well in mind, and the
fact that the decibel ratio is the same as the wire table crosssection ratio allows a mental picture
to be had directly from past experience, and does not require a complete new set of ratios to be memorized.
It should be noted that the wire table ratios are not exactly those given, the error being of the
order of 3/4 of 1%, which may be entirely neglected when ratios in multiples of unity are considered.
 John H. Miller, Electrical Engineer, Jewell Electrical Instrument Co.
Posted August 2, 2016
