In the process of electricity, what flows through the wires?
free or electrons if the process is in an ordinary metal conductor ... the free electrons come from the conduction band/valence band
I'm going to assume you are asking about the electricity in your home? In the U.S. there is 60hz a/c current which is measured in amps. The actual current in the wires are electrons which were created by the voltage produced in an electric generator at the power company. There is a formula for current flow which is E=IR which states the E (voltage) equals I (current) x R (resistance) Example: So if you have a 60 watt light bulb plugged into the wall outlet , the current that flows in the wire would be solved by starting with 120vac = E 60watts = P formula P=ExI then 60w = 120 x (amps) Amps =.5 Now if you want to go further and know about electron flow 1 amp = 6.25 x 10 ^18 electrons. So a 60W light bulb would cause 3.125 x 10^18 electrons to flow each second.
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