question archive What is the density of conduction electrons in copper wire? Give your answer in cm—3
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What is the density of conduction electrons in copper wire? Give your answer in cm—3. Look up the density of copper and its atomic weight, and imagine that there is one conduction electron per atom (ie, all the other electrons are bound to the nuclei). A good car battery can put out about 250 A h of total charge at 12 V. If you simply short—out your car battery with a copper wire of diameter 5 mm, how far does a typical conduction electron move in the wire? Don't do the experiment! It's incredibly dangerous.
I have answered the question fully step by step along with the formula used is mentioned so that you can use that for reference in future.
Step-by-step explanation
Given : Total charge ( q) = 250 At at 13 V = 250 x 36 10 9 : 900 00 C diameter of wire ( d ) : 5 mm = 0.5 (m Cross- section and of wire ( A ) = T d? = 0196 (m? 4 Atomic wt of Cu = 63.5 9 .. Number of atom in 63.5 4 of Cu = NA = Avogadro No = 6. 02 x 10?3 Pru : 8.96 91 cm) DO Number of atoms in 1 cms = 6.02x 10 * 8. 96 = 8. 49 x 10"/ cm (n ) 63. 5 As given . there is one conduction electron 10 Density of conduction electron (n) = |8.49 * 10 / cm ? = p Let the distance moved ( incm) by conduction electrons be 'd" -we know q = nx ex dx A e - charge on each gxlos = 8. 49 f 10 x 1. 6 * 10 * d x 0 196 d* = grlos = 338. <33 cm P. ug x 10 * x 1.6 * 10 3 x0- 196 d* = 3.38 m Answer .