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An aluminum wire of diameter 2.6 mm carries a current of 11 AHow long on average does it take an electron to?

An aluminum wire of diameter 2.6 mm carries a current of 11 AHow long on average does it take an electron to move 11 m along the wire? Assume 3.5 conduction electrons per aluminum atomThe mass density of aluminum is 2.7 g/cm3 and its atomic mass is 27 g/mol.

Answer:

Think of the wire as a pipe, and think of the electricity as a fluid in the pipeHow long does it take to fill up a 2.6mm diameter cylinder that is 11m long? Eleven Amperes means eleven Coulombs per second, or 11×6.242×10^18 electrons per secondYou know the physical dimensions of the pipe, but what is the volume of an electron? Well, you were told that there effectively are 3.5 of them for each atom of aluminum, So pretend that instead of filling the pipe with electrons at the rate of 11×6.242×10^18 electrons per second, you are filling it with aluminum atoms at that rate divided by 3.5How many aluminum atoms are in 11m of wire? How much time would it take to fill up that same volume with aluminum atoms at the rate that you computed above? Hope this gets you thinking in the right direction.
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