Understanding AWG Gages & Inverse Proportionality of Diameter to Area

In summary, in AWG Gages, the diameter and cross-sectional area are related by the equation A = \pi (\frac{D}{2})^2. However, there is no inverse proportionality between the two. The resistance, on the other hand, varies inversely with the cross-sectional area and doubles for every 3 AWG number increase.
  • #1
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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  • #2
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

[tex]A = \pi (\frac{D}{2})^2[/tex]

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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What is an AWG gage?

An AWG (American Wire Gauge) gage is a standardized system for measuring the diameter of electrical wire. It is used primarily in the United States and Canada.

How is the AWG gage system organized?

The AWG gage system is organized in a decreasing order, with the smallest diameter wires assigned the highest numbers. The larger the AWG number, the smaller the wire diameter.

What is the relationship between AWG gages and wire diameter?

The AWG gage system follows an inverse proportionality relationship with wire diameter. This means that as the AWG number increases, the wire diameter decreases and vice versa.

Why is it important to understand AWG gages?

Understanding AWG gages is important for selecting the appropriate wire size for a specific electrical application. Using the wrong AWG gage can result in inefficient or unsafe electrical connections.

How can I determine the wire diameter from the AWG gage number?

There are many online calculators and charts available to convert AWG gages to wire diameter. You can also refer to the AWG gage table, which lists the corresponding diameter for each AWG number.

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