You are watching: How many electrons are in one coulomb
This is figured out from the worth of fee on one electron and the worth of charge for 1 coulomb.
One electron has actually a charge identical of 1.6x10^-19 coulomb. This is written as 1.6x10^-19 C = 1 electron.
To acquire the worth of 1 C, both sides of the equation need to be divided by 1.6x10^-19. This is created as 1 C = 1/1.6x10^-19 electrons. Separating 1 by 1.6x10^-19 offers a value of 6.25x10^18 electrons every coulomb.
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Given this value, the variety of electrons passing with a circuit end a offered time have the right to be calculated. One ampere amounts to 1 coulomb every second. Therefore, a vacuum cleaner through a 3.5-amp motor offers 3.5 coulomb per second multiplied by 6.25x10^18 electrons/coulomb, or 21.875x10^18 electrons every second. The is 21,875,000,000,000,000,000 electrons every second!
This equivalency can additionally be used to recognize the variety of electrons forced to execute a provided amount that work. Provided that 1 volt equals 1 joule/coulomb, a circuit producing 18 joules of work-related off the a 9-volt power resource would need 2 coulombs precious of charge, or 12.5x10^18 electrons.
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