How many electrons pass a given point in the circuit in 17 minutes? The fundamental charge is 1.602•10^-19. And the current is 0.526315789
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To determine the number of electrons passing through a given point in a circuit, you need to use the formula:
Number of electrons = (Current * Time) / Elementary charge
First, let's convert the current to scientific notation:
Current = 0.526315789 Amps = (5.26315789 x 10^-1) Amps
Now, plug in the values into the formula:
Number of electrons = ((5.26315789 x 10^-1) Amps * 17 minutes) / (1.602 x 10^-19 Coulombs)
Since we want the result in terms of electrons, not coulombs, we can apply the relationship that 1 Coulomb is equal to the charge of 1 electron (the elementary charge).
Number of electrons = ((5.26315789 x 10^-1) Amps * 17 minutes) / (1.602 x 10^-19 Coulombs) * (1 Coulomb / (1.602 x 10^-19 electrons))
Now, simplify the equation by canceling out the units:
Number of electrons = ((5.26315789 x 10^-1) Amps * 17 minutes) / (1.602 x 10^-19 electrons)
Calculate the result:
Number of electrons = (0.526315789 A * 17 min) / (1.602 x 10^-19 electrons)
Number of electrons = 8.94736842 electrons / (1.602 x 10^-19)
Number of electrons ≈ 5.58 x 10^19 electrons
Therefore, approximately 5.58 x 10^19 electrons pass through the given point in the circuit in 17 minutes.