High School

A collection of [tex]6.25 \times 10^{18}[/tex] electrons has the charge of:

Answer :

With a total charge of roughly 1.0 Coulomb, a group of 6.25 x 1018 electrons can be measured.

A single electron has a charge of about 1.602 x 10-19 Coulombs.

We can multiply the quantity of electrons by the charge of a single electron to determine the total charge of a group of electrons:

Total charge = (electron count) x (charge of a single electron)

Total charge is 1.602 x 10-19 C/electron x 6.25 x 10-18 electrons.

Charge total = 1.0 C

As a result, a group of 6.25 x 1018 electrons has an about 1.0 Coulomb overall charge.This calculation can be useful in many contexts, such as in the study of electric circuits, electromagnetism, and semiconductor devices.

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Final answer:

The total charge of a collection of 6.25×10¹8 electrons is equivalent to -1.00 Coulombs (C), as each electron carries a charge of -1.602 x 10^-19 C, and this charge is multiplied by the total number of electrons.

Explanation:

The charge of the collection of 6.25×10¹8 electrons can be calculated by multiplying the number of electrons by the charge of a single electron. The absolute charge of a single electron (denoted as |qe|) is known to be 1.602 x 10^-19 Coulombs (C). Thus, the total charge of 6.25×10¹8 electrons is calculated as:

Charge = number of electrons × charge per electron

or

Charge = (-6.25×10¹8 electrons) × (-1.602 x 10^-19 C/e-)

The negative sign indicates that electrons carry a negative charge.

By multiplying, we find that these electrons combined would carry an electric charge of -1.00 Coulombs (C). This means a collection of 6.25×10¹8 electrons has the same electric charge as that of -1.00 C.

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