What is the net charge after adding electrons?

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A metal sphere initially charged at +7.0 µC has its net charge affected by adding 8.00 x 10^13 electrons. Each electron carries a charge of -1.6 x 10^-19 C, leading to a total negative charge of -12.8 µC from the electrons. The net charge is calculated by combining the initial charge and the total charge from the electrons, resulting in -5.8 µC. Significant figures are important in this calculation, with +7.0 µC having two significant figures. The discussion highlights the importance of correctly accounting for signs and significant figures in charge calculations.
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Homework Statement



A metal sphere has a charge of +7.0 µC. What is the net charge after 8.00 10^13 electrons have been placed on it?
in µC


Homework Equations





The Attempt at a Solution



I believe that the charge of an electron is: -1.6 x 10^-19 C
and there are 8 electrons,

so -1.6 x 10^19 C * 8.00 x 10 ^13 electrons right?

then I add it to 7 uC? well I'm having trouble with the sigfigs, I got 5.72 uC I don't believe that is correct.

please help.
 
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Do you have a rounding error? I am getting -5.8µC.
 
ah, I see from your answer. Sometimes it just takes someone else.

it was my sign! it has to be negative.

Thankyou!
 
also, when i get the answer, after multiplying the electrons, does +7.0 uC have sigfigs? i can't seem to figure out why my calculater won't give me anything past 1.28 x 10^33 i believe.
 
rcmango said:
also, when i get the answer, after multiplying the electrons, does +7.0 uC have sigfigs? i can't seem to figure out why my calculater won't give me anything past 1.28 x 10^33 i believe.

Sorry I don't understand your calculator comment. 7.0µC has 2 significant figures, and it means 7.0*10^{-6}C. 7.00µC would be 3 sig figs, and 7µC would be 1 sig fig.
 
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