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How many conduction electrons are there in a 1.50 mm diameter gold wire that is 20.0 cm long?

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How many conduction electrons are there in a 1.50 mmmm diameter gold wire that is 20.0 cmcm long?

asked Mar 19, 2016 in PHYSICS by anonymous

1 Answer

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The diameter of gold wire is 1.50 mm.

Therefore, the radius of gold wire is image.

The length of the wire is image.

Find the volume of the wire.

Volume of the wire is image, where image is the area of the wire and image is the length of the wire.

image

Volume of the wire is image

Find the number of conduction electrons.

Number of conduction electrons is image, where image is the number of free electrons and image is the volume.

The number of free electrons in gold wire is image per unit volume.

image

There are image conduction electrons.

answered Mar 19, 2016 by Lucy Mentor

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