Understanding AWG Gages & Inverse Proportionality of Diameter to Area

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In AWG gages, the relationship between diameter and cross-sectional area is defined by the equation A = π(D/2)², indicating that they are not inversely proportional. Instead, as the diameter increases, the cross-sectional area also increases. The resistance of a conductor, however, does double with each increase of three AWG numbers, which may be the intended relationship being referenced. Resistance is inversely related to cross-sectional area, meaning that larger areas result in lower resistance. Understanding these relationships is crucial for electrical applications.
Ali Asadullah
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In AWG Gages, how diameter is inversely proportional to the cross-sectional area of the conductor?
 
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Ali Asadullah said:
In AWG Gages, how diameter is inversely proportional to the cross-sectional area of the conductor?

I'm not sure your question is stated correctly. In all circular wires, the diameter and cross-sectional area are related by the familiar equation

A = \pi (\frac{D}{2})^2

There is no inverse proportionality between area A and diameter D.

However, the resistance doubles for an increase of each 3 AWG numbers -- maybe that's the relationship you are asking about? And the resistance varies inversely with cross-sectional area. Is that what you are referring to?
 
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