Path: utzoo!utgpu!news-server.csri.toronto.edu!mailrus!cs.utexas.edu!sdd.hp.com!decwrl!bacchus.pa.dec.com!shlump.nac.dec.com!ryn.esg.dec.com!allvax!jroth From: jroth@allvax.dec.com (Jim Roth) Newsgroups: sci.electronics Subject: A conundrum about the AWG (wire gauge) table Summary: How was the AWG table created? Message-ID: <2588@ryn.esg.dec.com> Date: 29 Aug 90 03:13:20 GMT Sender: guest@ryn.esg.dec.com Organization: Digital Equipment Corporation Lines: 28 Many of the standard values in electronics and elsewhere follow an approximate log/exp scale to accomodate a wide range of values. Examples are resistors, ISO 3'rd octave audio frequencies, etc. Wire gauges are no exception, but here's an odd thing - virtually none of the diameters or areas in circular mills are "round numbers". Yet when we take logs, we find that each jump of 10 wire gauges increases the cross sectional area of the wire not by a nice round number like 10, but by about 10**1.007! Examples: gauge area log(ratio) ----- ------ ---------- 0 105500 1.007055 10 10380 1.006747 20 1022 1.007285 30 100.5 1.007058 40 9.888 Why the brain-damaged exponent? How on earth was that table created in the first place? - Jim