Copper's Free Electrons!

Electricity and Magnetism Level pending

Copper is an excellent conductor because it has an enormous number of 1 0 23 10^{23} free electrons per cubic centimeter. Calculate the number of free electrons in a copper conductor having a diameter of 16.256 X 1 0 − 2 16.256 X 10^{-2} cm and a length of 304.8 m.


The answer is 6.32E+25.

Theo Manalon by Theo Manalon , 21, Philippines

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1 solution

Theo Manalon
Sep 6, 2014

V = LA

V = [30,840cm] [(3.14)( 16.256 X 1 0 − 2 16.256 X 10^{-2} ) / 4]

V = 632.2837 c m 3 cm^3

Free Electrons = ( 1 0 23 10^{23} FreeElectrons/ c m 3 cm^3 )(632.2837 c m 3 cm^3 )

Free Electrons = 6.32 X 1 0 25 6.32 X 10^{25} or 6.32E25

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