Posted by **Jenny** on Friday, February 8, 2008 at 1:51am.

What is the diameter of a 1.00 meter length of tungsten wire whose resistance is 0.32 ohm (electrical resistance)?

- Physics -
**Quidditch**, Friday, February 8, 2008 at 2:22am
The formula for resistance is:

total resistance = (resistivity) * (length)/(area)

filling in from the problem statement:

0.32 ohms = (resistivity) * 1m/(area)

looking up the resistivity for tungsten:

at 20 C

restivity = 5.28 * 10^-8 ohms*m

leaving just the area unknown:

0.32 ohm = (5.28 * 10^-8)(ohm-m) * (1 m)/(area)

Solve for the area. Then, assuming a round wire, find the diameter that gives that area.

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