Hello! A co-worker recently asked me how to calculate the maximum current through a titanium cylinder. I immediately realized there were probably many variables, likely including voltage, length, cross sectional area, and electrical conductivity.(adsbygoogle = window.adsbygoogle || []).push({});

I used wikipedia to see what I could find and it lists the electrical resistivity as being (420nΩ*meters - @20° celsius). We know electrical conductivity is defined as the inverse of the electrical resistivity, thus the conductivity must be 420nΩ^{(-1)}*m^{(-1)}at 20° celsius. Good so far?

So algebraically, can we solve for the maximum current by using the following equation?

[(Conductivity)*(Voltage)*(Cross-Sectional Area)]/[(Length)]=[(Current)]

If the above is a valid equation, does it merely give us a permissable current or is it truly the maximum current at a 20°C temperature? Also, let's say we have a variable temperature... for example, if our titanium cylinder is being cooled by ocean water onboard a ship, and the ship is constantly traveling. What is the rate of change based on temperature? If it is linear, we should be able to further develop our equation to account for it.

Any ideas or contributions would be highly appreciated. Thanks!

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# Calculating Maximum Current in Metal

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