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A metal sphere is insulated electrically and is given a charge. If 63 x 10¹⁷ electrons are added to the sphere in giving a charge, how many coulombs are added to the sphere?

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Final answer:

When 63 x 10^17 electrons are added to a sphere, it will have an additional charge of 1.0086 coulombs.

Step-by-step explanation:

The student is asking how many coulombs are added to a sphere when 63 x 1017 electrons are added to it. To find the charge in coulombs, we can use the elementary charge of an electron, which is approximately 1.602 x 10-19 coulombs. Multiplying the number of electrons by the elementary charge will give us the total charge in coulombs:

The charge Q in coulombs is calculated as:

Q = number of electrons x elementary charge

Q = (63 x 1017) x (1.602 x 10-19)

Q = 10.086 x 10-1

Thus, the sphere will have an additional charge of 10.086 x 10-1 coulombs or 1.0086 coulombs when 63 x 1017 electrons are added to it.

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